A value of 0 in the table below includes the possibility that the page did not exist in that month. If viewing the table with a limit to the number of pagepaths shown (which includes the default view of showing the top n = 100 pages of all time), sorting by a month may not show the actual top pages for that month; rather it shows the top n pages of all time sorted by pageviews for that month. (So for instance if a page received a huge number of views in one month but received no views in all other months, it may not make it to the top n pages of all time even if it actually was the most viewed page for some month. Such a page would not be shown in the table.)
Pagepath | Total | January 2021 | December 2020 | November 2020 | October 2020 | September 2020 | August 2020 | July 2020 | June 2020 | May 2020 | April 2020 | March 2020 | February 2020 | January 2020 | December 2019 | November 2019 | October 2019 | September 2019 | August 2019 | July 2019 | June 2019 | May 2019 | April 2019 | March 2019 | February 2019 | January 2019 | December 2018 | November 2018 | October 2018 | September 2018 | August 2018 | July 2018 | June 2018 | May 2018 | April 2018 | March 2018 | February 2018 | January 2018 | December 2017 | November 2017 | October 2017 | September 2017 | August 2017 | July 2017 | June 2017 | May 2017 | April 2017 | March 2017 | February 2017 | January 2017 | December 2016 | November 2016 | October 2016 | September 2016 | August 2016 | July 2016 | June 2016 | May 2016 | April 2016 | March 2016 | February 2016 | January 2016 | December 2015 | November 2015 | October 2015 | September 2015 | August 2015 | July 2015 | June 2015 | May 2015 | April 2015 | March 2015 | February 2015 | January 2015 | December 2014 | November 2014 | October 2014 | September 2014 | August 2014 | July 2014 | June 2014 | May 2014 | April 2014 | March 2014 | February 2014 | January 2014 | December 2013 | November 2013 | October 2013 | September 2013 | August 2013 | July 2013 | June 2013 | May 2013 | April 2013 | March 2013 | February 2013 | January 2013 | December 2012 | November 2012 | October 2012 | September 2012 | August 2012 | July 2012 | June 2012 | May 2012 | April 2012 | March 2012 | February 2012 | January 2012 | December 2011 | November 2011 | October 2011 | September 2011 | August 2011 | July 2011 | June 2011 | May 2011 | April 2011 | March 2011 | February 2011 | January 2011 | December 2010 | November 2010 | October 2010 | September 2010 | August 2010 | July 2010 | June 2010 | May 2010 | April 2010 | March 2010 | February 2010 | January 2010 | December 2009 | November 2009 | October 2009 | September 2009 | August 2009 | July 2009 | June 2009 | May 2009 | April 2009 | March 2009 | February 2009 | January 2009 | December 2008 | November 2008 | October 2008 | September 2008 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
/wiki/Product_of_ideals | 8,180 | 41 | 165 | 267 | 232 | 202 | 94 | 114 | 153 | 200 | 246 | 225 | 268 | 252 | 214 | 358 | 288 | 217 | 125 | 143 | 114 | 205 | 182 | 175 | 132 | 96 | 77 | 128 | 136 | 106 | 60 | 63 | 75 | 108 | 99 | 117 | 119 | 123 | 67 | 96 | 84 | 80 | 48 | 35 | 42 | 66 | 84 | 108 | 216 | 114 | 58 | 72 | 56 | 48 | 15 | 13 | 18 | 15 | 43 | 38 | 37 | 16 | 15 | 22 | 15 | 20 | 9 | 2 | 3 | 12 | 18 | 23 | 16 | 21 | 14 | 24 | 16 | 15 | 2 | 3 | 6 | 9 | 10 | 10 | 18 | 25 | 12 | 26 | 26 | 15 | 8 | 15 | 11 | 25 | 40 | 51 | 38 | 41 | 17 | 40 | 25 | 16 | 10 | 4 | 5 | 5 | 8 | 1 | 0 | 11 | 1 | 1 | 4 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Radical_ideal | 6,976 | 27 | 122 | 130 | 146 | 123 | 57 | 95 | 120 | 141 | 175 | 156 | 128 | 104 | 91 | 91 | 93 | 70 | 37 | 39 | 50 | 66 | 73 | 103 | 69 | 48 | 61 | 87 | 62 | 70 | 33 | 47 | 64 | 91 | 74 | 67 | 93 | 94 | 79 | 108 | 113 | 49 | 41 | 55 | 61 | 103 | 45 | 89 | 54 | 48 | 37 | 82 | 71 | 46 | 23 | 29 | 50 | 105 | 79 | 130 | 108 | 42 | 48 | 53 | 60 | 40 | 23 | 21 | 33 | 54 | 48 | 47 | 62 | 38 | 59 | 80 | 94 | 81 | 37 | 36 | 29 | 39 | 45 | 47 | 53 | 44 | 38 | 50 | 74 | 24 | 46 | 31 | 39 | 63 | 48 | 66 | 33 | 89 | 57 | 64 | 49 | 32 | 11 | 14 | 21 | 17 | 18 | 15 | 18 | 16 | 2 | 2 | 1 | 1 | 0 | 0 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 3 | 0 | 5 | 2 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 |
/wiki/Main_Page | 5,197 | 25 | 64 | 47 | 56 | 49 | 38 | 42 | 52 | 110 | 63 | 37 | 61 | 47 | 68 | 74 | 101 | 51 | 56 | 56 | 49 | 58 | 57 | 54 | 70 | 53 | 18 | 47 | 47 | 29 | 19 | 31 | 24 | 31 | 17 | 22 | 34 | 40 | 23 | 34 | 17 | 13 | 10 | 14 | 10 | 13 | 12 | 17 | 16 | 26 | 17 | 13 | 28 | 32 | 14 | 10 | 50 | 73 | 51 | 22 | 10 | 10 | 18 | 17 | 16 | 8 | 13 | 19 | 38 | 20 | 22 | 13 | 18 | 11 | 22 | 26 | 25 | 15 | 7 | 26 | 17 | 30 | 21 | 35 | 22 | 20 | 28 | 25 | 28 | 42 | 51 | 54 | 29 | 22 | 44 | 28 | 47 | 62 | 41 | 71 | 60 | 53 | 88 | 69 | 75 | 80 | 59 | 81 | 46 | 48 | 52 | 34 | 30 | 20 | 47 | 8 | 92 | 28 | 26 | 31 | 48 | 47 | 37 | 35 | 33 | 28 | 23 | 17 | 17 | 21 | 63 | 39 | 14 | 19 | 20 | 23 | 28 | 21 | 22 | 19 | 22 | 21 | 36 | 32 | 31 | 33 | 10 | 19 | 8 | 1 |
/wiki/Nilradical_equals_inters… | 5,186 | 22 | 63 | 93 | 79 | 120 | 43 | 64 | 95 | 120 | 78 | 61 | 79 | 91 | 68 | 118 | 105 | 94 | 82 | 64 | 18 | 42 | 86 | 66 | 57 | 58 | 47 | 90 | 47 | 36 | 29 | 41 | 39 | 55 | 47 | 101 | 57 | 53 | 55 | 48 | 46 | 76 | 21 | 24 | 15 | 24 | 18 | 33 | 34 | 30 | 25 | 45 | 18 | 12 | 15 | 6 | 10 | 9 | 32 | 20 | 46 | 15 | 27 | 48 | 29 | 21 | 18 | 11 | 14 | 24 | 18 | 28 | 23 | 18 | 16 | 39 | 53 | 23 | 27 | 25 | 21 | 42 | 45 | 41 | 41 | 59 | 59 | 122 | 112 | 67 | 45 | 27 | 41 | 77 | 62 | 35 | 37 | 58 | 54 | 51 | 58 | 24 | 21 | 15 | 16 | 14 | 13 | 15 | 19 | 31 | 39 | 39 | 21 | 17 | 6 | 4 | 6 | 38 | 12 | 6 | 5 | 0 | 0 | 15 | 1 | 0 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Power_of_an_ideal | 4,949 | 28 | 114 | 114 | 102 | 101 | 80 | 60 | 89 | 107 | 148 | 119 | 103 | 115 | 86 | 122 | 87 | 79 | 58 | 55 | 40 | 79 | 81 | 109 | 83 | 78 | 65 | 92 | 89 | 66 | 31 | 41 | 58 | 63 | 58 | 83 | 80 | 103 | 53 | 75 | 67 | 51 | 22 | 20 | 34 | 43 | 50 | 53 | 75 | 66 | 28 | 31 | 44 | 42 | 15 | 15 | 24 | 36 | 41 | 44 | 39 | 17 | 17 | 40 | 34 | 24 | 16 | 12 | 12 | 26 | 48 | 43 | 43 | 19 | 28 | 30 | 27 | 38 | 13 | 11 | 9 | 21 | 33 | 31 | 32 | 21 | 9 | 17 | 27 | 16 | 7 | 9 | 20 | 18 | 17 | 27 | 12 | 10 | 13 | 26 | 11 | 13 | 2 | 1 | 1 | 0 | 0 | 0 | 2 | 3 | 0 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Finitely_generated_ideal… | 4,646 | 28 | 161 | 81 | 164 | 75 | 58 | 63 | 99 | 82 | 119 | 99 | 104 | 110 | 103 | 101 | 130 | 86 | 37 | 52 | 57 | 75 | 79 | 59 | 85 | 78 | 77 | 88 | 86 | 77 | 64 | 27 | 64 | 86 | 91 | 89 | 65 | 82 | 64 | 99 | 88 | 44 | 34 | 33 | 21 | 55 | 22 | 29 | 30 | 20 | 12 | 19 | 15 | 11 | 6 | 4 | 8 | 22 | 23 | 25 | 18 | 5 | 9 | 8 | 16 | 13 | 6 | 6 | 5 | 9 | 12 | 26 | 19 | 18 | 13 | 16 | 10 | 18 | 7 | 9 | 11 | 17 | 21 | 17 | 38 | 28 | 18 | 36 | 46 | 22 | 19 | 12 | 31 | 23 | 52 | 52 | 28 | 27 | 16 | 16 | 17 | 14 | 2 | 6 | 6 | 6 | 7 | 10 | 13 | 6 | 6 | 3 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Polynomial_ring_over_a_f… | 4,457 | 34 | 109 | 107 | 81 | 112 | 81 | 55 | 106 | 110 | 129 | 125 | 109 | 118 | 110 | 127 | 162 | 113 | 59 | 63 | 74 | 92 | 71 | 82 | 75 | 60 | 61 | 58 | 65 | 22 | 27 | 28 | 42 | 18 | 39 | 37 | 70 | 54 | 26 | 81 | 37 | 17 | 22 | 24 | 18 | 34 | 23 | 7 | 21 | 16 | 12 | 18 | 9 | 6 | 3 | 3 | 7 | 18 | 25 | 12 | 22 | 11 | 15 | 11 | 8 | 6 | 21 | 9 | 15 | 25 | 24 | 34 | 17 | 6 | 10 | 14 | 21 | 9 | 7 | 7 | 18 | 13 | 13 | 14 | 22 | 23 | 13 | 30 | 22 | 11 | 12 | 12 | 27 | 24 | 21 | 21 | 30 | 24 | 20 | 69 | 35 | 14 | 10 | 11 | 10 | 10 | 25 | 19 | 18 | 12 | 16 | 13 | 11 | 14 | 4 | 2 | 9 | 16 | 9 | 3 | 6 | 5 | 10 | 34 | 36 | 20 | 17 | 6 | 1 | 1 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Prime_avoidance_lemma | 3,956 | 22 | 53 | 57 | 35 | 41 | 30 | 33 | 31 | 74 | 23 | 52 | 60 | 33 | 24 | 44 | 34 | 34 | 23 | 11 | 27 | 61 | 42 | 41 | 21 | 29 | 35 | 35 | 34 | 22 | 22 | 40 | 33 | 29 | 27 | 8 | 19 | 35 | 18 | 28 | 27 | 22 | 17 | 9 | 11 | 18 | 14 | 31 | 32 | 15 | 38 | 30 | 29 | 24 | 7 | 13 | 17 | 35 | 35 | 31 | 24 | 46 | 32 | 31 | 27 | 35 | 23 | 21 | 48 | 31 | 34 | 62 | 58 | 44 | 44 | 62 | 72 | 54 | 53 | 59 | 61 | 99 | 91 | 65 | 54 | 44 | 72 | 92 | 59 | 37 | 33 | 46 | 40 | 43 | 61 | 62 | 70 | 41 | 37 | 37 | 43 | 32 | 13 | 12 | 4 | 7 | 6 | 2 | 3 | 1 | 0 | 0 | 1 | 2 | 2 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 2 | 0 | 1 | 1 | 1 | 5 | 5 | 5 | 0 | 3 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 5 | 6 | 0 | 1 | 0 | 0 | 0 |
/wiki/Normal_domain | 3,111 | 16 | 56 | 52 | 59 | 35 | 30 | 22 | 33 | 46 | 49 | 42 | 36 | 68 | 66 | 51 | 47 | 23 | 26 | 38 | 36 | 35 | 39 | 44 | 35 | 33 | 41 | 23 | 33 | 37 | 18 | 17 | 25 | 28 | 32 | 17 | 53 | 54 | 20 | 51 | 20 | 42 | 34 | 34 | 24 | 19 | 25 | 15 | 17 | 28 | 30 | 27 | 22 | 15 | 12 | 15 | 26 | 12 | 25 | 29 | 26 | 19 | 29 | 17 | 18 | 22 | 14 | 4 | 20 | 18 | 16 | 16 | 10 | 18 | 15 | 16 | 20 | 21 | 11 | 11 | 16 | 21 | 15 | 14 | 33 | 12 | 10 | 10 | 40 | 22 | 11 | 18 | 25 | 26 | 22 | 24 | 30 | 33 | 22 | 42 | 50 | 26 | 7 | 15 | 21 | 14 | 11 | 23 | 20 | 18 | 17 | 16 | 15 | 19 | 6 | 0 | 0 | 0 | 1 | 2 | 1 | 4 | 1 | 2 | 3 | 0 | 5 | 5 | 10 | 25 | 11 | 15 | 6 | 2 | 0 | 1 | 2 | 3 | 0 | 0 | 1 | 3 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Induced_map_on_spectra_b… | 2,915 | 41 | 49 | 101 | 78 | 54 | 23 | 43 | 25 | 42 | 50 | 68 | 68 | 55 | 42 | 65 | 72 | 38 | 12 | 32 | 28 | 43 | 46 | 44 | 61 | 25 | 72 | 53 | 76 | 47 | 13 | 17 | 27 | 43 | 21 | 51 | 59 | 34 | 26 | 50 | 25 | 14 | 14 | 5 | 12 | 24 | 17 | 31 | 77 | 19 | 16 | 26 | 26 | 35 | 5 | 16 | 16 | 49 | 21 | 26 | 52 | 14 | 10 | 31 | 16 | 17 | 7 | 10 | 23 | 20 | 13 | 14 | 35 | 20 | 10 | 36 | 21 | 9 | 12 | 7 | 2 | 6 | 8 | 11 | 4 | 6 | 16 | 17 | 16 | 5 | 0 | 3 | 4 | 22 | 25 | 11 | 10 | 14 | 8 | 29 | 7 | 9 | 1 | 2 | 1 | 5 | 2 | 2 | 2 | 3 | 4 | 6 | 3 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 |
/wiki/Principal_ideal_domain | 2,568 | 12 | 19 | 18 | 7 | 11 | 7 | 11 | 23 | 29 | 13 | 13 | 19 | 20 | 16 | 15 | 13 | 17 | 10 | 12 | 14 | 15 | 19 | 13 | 10 | 7 | 13 | 10 | 9 | 5 | 7 | 10 | 15 | 19 | 19 | 26 | 20 | 18 | 15 | 22 | 9 | 15 | 5 | 7 | 18 | 25 | 25 | 12 | 18 | 12 | 8 | 22 | 9 | 0 | 1 | 1 | 5 | 4 | 10 | 19 | 6 | 6 | 7 | 12 | 16 | 7 | 4 | 7 | 6 | 7 | 8 | 16 | 21 | 26 | 15 | 29 | 27 | 18 | 12 | 8 | 17 | 27 | 22 | 19 | 30 | 14 | 57 | 56 | 104 | 47 | 41 | 13 | 41 | 41 | 45 | 50 | 44 | 27 | 74 | 50 | 39 | 27 | 13 | 16 | 14 | 9 | 32 | 26 | 28 | 23 | 18 | 43 | 27 | 20 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 17 | 13 | 26 | 81 | 67 | 56 | 26 | 23 | 23 | 23 | 1 | 0 | 2 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Multivariate_polynomial_… | 2,475 | 11 | 35 | 33 | 49 | 111 | 21 | 32 | 29 | 42 | 49 | 41 | 58 | 33 | 52 | 45 | 49 | 35 | 37 | 23 | 26 | 39 | 39 | 37 | 27 | 31 | 17 | 40 | 22 | 13 | 23 | 14 | 30 | 26 | 17 | 43 | 48 | 25 | 6 | 22 | 17 | 27 | 12 | 18 | 13 | 22 | 5 | 13 | 24 | 18 | 9 | 24 | 22 | 13 | 5 | 13 | 17 | 25 | 9 | 23 | 25 | 11 | 9 | 9 | 7 | 16 | 4 | 8 | 11 | 9 | 13 | 14 | 10 | 10 | 6 | 8 | 10 | 6 | 6 | 5 | 5 | 14 | 16 | 23 | 21 | 12 | 13 | 21 | 19 | 6 | 7 | 3 | 15 | 14 | 14 | 39 | 11 | 12 | 9 | 14 | 17 | 4 | 5 | 4 | 11 | 20 | 11 | 35 | 8 | 11 | 8 | 11 | 10 | 4 | 6 | 2 | 0 | 0 | 0 | 1 | 5 | 3 | 0 | 4 | 11 | 7 | 19 | 8 | 21 | 19 | 10 | 7 | 10 | 2 | 0 | 2 | 1 | 28 | 4 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Euclidean_domain | 2,195 | 8 | 20 | 17 | 13 | 13 | 6 | 10 | 24 | 20 | 10 | 20 | 20 | 15 | 51 | 28 | 20 | 9 | 13 | 6 | 19 | 34 | 29 | 19 | 13 | 10 | 16 | 21 | 15 | 8 | 11 | 15 | 30 | 21 | 34 | 19 | 19 | 12 | 20 | 25 | 26 | 11 | 19 | 13 | 21 | 31 | 22 | 20 | 5 | 9 | 15 | 19 | 17 | 8 | 1 | 5 | 15 | 24 | 30 | 42 | 34 | 22 | 50 | 33 | 38 | 14 | 7 | 7 | 13 | 40 | 37 | 23 | 14 | 19 | 16 | 45 | 27 | 6 | 18 | 11 | 14 | 31 | 19 | 24 | 44 | 28 | 24 | 55 | 51 | 28 | 10 | 7 | 5 | 9 | 12 | 10 | 27 | 13 | 12 | 21 | 37 | 4 | 6 | 4 | 26 | 15 | 20 | 7 | 21 | 11 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 6 | 15 | 27 | 2 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Irreducible_element_not_… | 2,086 | 29 | 96 | 30 | 24 | 21 | 16 | 11 | 26 | 57 | 38 | 34 | 47 | 41 | 24 | 32 | 28 | 23 | 21 | 11 | 14 | 42 | 47 | 36 | 16 | 20 | 31 | 25 | 28 | 7 | 13 | 17 | 24 | 26 | 22 | 9 | 29 | 21 | 22 | 24 | 12 | 13 | 20 | 8 | 9 | 14 | 15 | 9 | 30 | 18 | 18 | 15 | 14 | 5 | 9 | 11 | 8 | 22 | 36 | 25 | 25 | 23 | 14 | 19 | 24 | 9 | 8 | 10 | 17 | 22 | 31 | 26 | 14 | 18 | 15 | 26 | 49 | 14 | 30 | 7 | 11 | 33 | 26 | 19 | 23 | 23 | 31 | 23 | 21 | 12 | 9 | 6 | 6 | 11 | 8 | 4 | 8 | 0 | 1 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 3 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 |
/ | 2,051 | 8 | 13 | 12 | 21 | 11 | 8 | 0 | 0 | 0 | 46 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10 | 39 | 98 | 68 | 38 | 88 | 55 | 40 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 9 | 0 | 0 | 2 | 0 | 61 | 198 | 0 | 0 | 46 | 85 | 183 | 0 | 2 | 6 | 0 | 11 | 18 | 79 | 2 | 7 | 25 | 5 | 79 | 202 | 135 | 210 | 1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 5 | 6 | 0 | 2 | 0 | 15 | 15 | 3 | 3 | 1 | 3 | 8 | 4 | 11 | 0 | 1 | 3 | 2 | 2 | 0 | 0 | 5 | 9 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Irreducible_implies_prim… | 2,050 | 14 | 64 | 48 | 54 | 44 | 40 | 43 | 42 | 65 | 64 | 62 | 62 | 43 | 54 | 51 | 52 | 18 | 18 | 17 | 24 | 46 | 37 | 28 | 34 | 33 | 43 | 27 | 18 | 23 | 14 | 21 | 28 | 40 | 35 | 29 | 26 | 25 | 19 | 28 | 15 | 14 | 7 | 7 | 15 | 42 | 19 | 24 | 10 | 28 | 17 | 18 | 3 | 9 | 7 | 3 | 8 | 12 | 12 | 11 | 5 | 2 | 10 | 5 | 3 | 6 | 3 | 2 | 7 | 21 | 17 | 2 | 2 | 6 | 2 | 12 | 6 | 1 | 3 | 2 | 10 | 22 | 16 | 17 | 10 | 8 | 22 | 22 | 2 | 6 | 7 | 0 | 6 | 11 | 9 | 5 | 1 | 10 | 9 | 3 | 3 | 2 | 3 | 3 | 3 | 3 | 0 | 1 | 1 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Regular_local_ring_impli… | 1,841 | 16 | 42 | 33 | 37 | 23 | 13 | 40 | 26 | 79 | 56 | 66 | 26 | 34 | 48 | 39 | 38 | 34 | 27 | 24 | 51 | 53 | 52 | 41 | 25 | 41 | 28 | 38 | 41 | 14 | 16 | 20 | 40 | 34 | 29 | 26 | 27 | 26 | 16 | 26 | 18 | 15 | 9 | 7 | 8 | 20 | 24 | 13 | 18 | 10 | 8 | 7 | 6 | 7 | 2 | 6 | 5 | 8 | 8 | 5 | 6 | 7 | 4 | 8 | 2 | 2 | 1 | 2 | 7 | 14 | 3 | 2 | 6 | 8 | 0 | 4 | 2 | 4 | 2 | 0 | 1 | 0 | 7 | 8 | 4 | 7 | 6 | 16 | 14 | 7 | 8 | 10 | 13 | 11 | 5 | 9 | 21 | 11 | 6 | 6 | 6 | 15 | 3 | 1 | 5 | 3 | 1 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Proper_ideal | 1,703 | 18 | 61 | 79 | 68 | 57 | 32 | 75 | 54 | 53 | 67 | 59 | 58 | 26 | 12 | 18 | 12 | 15 | 18 | 11 | 9 | 13 | 15 | 34 | 22 | 13 | 21 | 18 | 20 | 19 | 11 | 12 | 12 | 9 | 34 | 17 | 19 | 21 | 29 | 16 | 19 | 14 | 13 | 13 | 11 | 32 | 25 | 21 | 9 | 8 | 12 | 9 | 7 | 10 | 9 | 1 | 9 | 19 | 11 | 28 | 12 | 10 | 7 | 11 | 13 | 6 | 6 | 7 | 6 | 12 | 22 | 14 | 6 | 2 | 8 | 10 | 1 | 4 | 3 | 4 | 6 | 4 | 7 | 7 | 5 | 3 | 5 | 4 | 6 | 8 | 0 | 6 | 6 | 3 | 4 | 4 | 1 | 1 | 3 | 1 | 0 | 1 | 0 | 0 | 3 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 |
/wiki/Commutative_unital_ring | 1,693 | 20 | 33 | 46 | 52 | 34 | 21 | 31 | 38 | 48 | 39 | 33 | 35 | 34 | 31 | 44 | 24 | 23 | 25 | 11 | 16 | 37 | 57 | 39 | 18 | 27 | 25 | 25 | 28 | 10 | 8 | 21 | 13 | 33 | 45 | 17 | 17 | 23 | 15 | 14 | 17 | 16 | 13 | 6 | 10 | 16 | 11 | 22 | 18 | 7 | 11 | 10 | 5 | 13 | 6 | 2 | 3 | 10 | 7 | 9 | 9 | 4 | 11 | 8 | 14 | 9 | 0 | 2 | 4 | 8 | 8 | 6 | 4 | 8 | 6 | 14 | 7 | 9 | 7 | 7 | 7 | 4 | 4 | 10 | 5 | 7 | 8 | 3 | 8 | 9 | 5 | 7 | 1 | 8 | 12 | 12 | 7 | 8 | 12 | 5 | 6 | 9 | 5 | 6 | 1 | 5 | 3 | 4 | 7 | 7 | 2 | 3 | 4 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 2 | 1 | 1 | 0 | 0 | 2 | 0 | 1 | 0 | 1 | 0 | 4 | 2 | 0 | 0 | 1 | 2 | 0 | 0 |
/wiki/Universal_side_divisor | 1,661 | 1 | 16 | 30 | 23 | 12 | 6 | 12 | 27 | 21 | 27 | 14 | 30 | 23 | 22 | 20 | 19 | 16 | 8 | 19 | 33 | 29 | 26 | 24 | 13 | 18 | 28 | 22 | 21 | 23 | 3 | 6 | 12 | 19 | 8 | 6 | 16 | 14 | 36 | 23 | 16 | 8 | 10 | 2 | 21 | 15 | 26 | 26 | 33 | 15 | 18 | 26 | 5 | 5 | 6 | 6 | 9 | 12 | 42 | 24 | 25 | 12 | 36 | 13 | 17 | 14 | 8 | 5 | 7 | 10 | 18 | 13 | 13 | 20 | 22 | 10 | 20 | 20 | 5 | 6 | 19 | 4 | 11 | 22 | 4 | 8 | 19 | 12 | 7 | 8 | 16 | 8 | 3 | 9 | 12 | 43 | 6 | 5 | 14 | 18 | 18 | 11 | 1 | 3 | 9 | 1 | 7 | 2 | 1 | 3 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
/wiki/Minimal_prime_ideal | 1,639 | 13 | 29 | 53 | 24 | 47 | 23 | 16 | 25 | 54 | 47 | 43 | 17 | 21 | 10 | 30 | 26 | 18 | 11 | 13 | 17 | 19 | 16 | 24 | 19 | 24 | 19 | 22 | 31 | 15 | 9 | 27 | 22 | 9 | 23 | 10 | 21 | 21 | 17 | 16 | 17 | 24 | 15 | 20 | 12 | 17 | 16 | 11 | 13 | 16 | 12 | 16 | 13 | 22 | 4 | 7 | 12 | 16 | 15 | 24 | 20 | 14 | 10 | 13 | 17 | 15 | 4 | 21 | 4 | 9 | 8 | 11 | 6 | 10 | 5 | 10 | 9 | 8 | 6 | 1 | 3 | 4 | 3 | 9 | 1 | 5 | 3 | 5 | 12 | 1 | 6 | 9 | 4 | 15 | 14 | 13 | 15 | 9 | 7 | 12 | 26 | 11 | 4 | 7 | 3 | 7 | 3 | 3 | 4 | 6 | 3 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Multiplicative_norm | 1,629 | 7 | 21 | 25 | 27 | 26 | 26 | 17 | 35 | 23 | 31 | 9 | 24 | 15 | 10 | 22 | 24 | 24 | 12 | 10 | 15 | 10 | 16 | 20 | 17 | 11 | 12 | 24 | 18 | 11 | 17 | 11 | 13 | 7 | 13 | 17 | 18 | 17 | 13 | 29 | 19 | 10 | 9 | 11 | 20 | 28 | 15 | 17 | 15 | 17 | 18 | 16 | 15 | 29 | 13 | 9 | 14 | 18 | 23 | 39 | 12 | 16 | 13 | 20 | 17 | 15 | 6 | 5 | 10 | 22 | 14 | 12 | 13 | 6 | 11 | 10 | 10 | 14 | 6 | 10 | 7 | 14 | 14 | 12 | 4 | 10 | 9 | 14 | 19 | 13 | 6 | 8 | 7 | 18 | 15 | 14 | 11 | 15 | 11 | 10 | 17 | 7 | 7 | 5 | 6 | 3 | 16 | 7 | 18 | 3 | 3 | 3 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Intersection_of_maximal_… | 1,623 | 5 | 39 | 32 | 26 | 38 | 32 | 10 | 26 | 51 | 29 | 27 | 30 | 28 | 36 | 21 | 14 | 23 | 13 | 17 | 10 | 10 | 19 | 13 | 11 | 7 | 19 | 25 | 25 | 19 | 7 | 12 | 29 | 39 | 29 | 23 | 22 | 15 | 25 | 18 | 11 | 15 | 8 | 13 | 11 | 35 | 26 | 8 | 6 | 8 | 12 | 13 | 6 | 10 | 3 | 0 | 5 | 14 | 12 | 6 | 7 | 5 | 10 | 4 | 6 | 4 | 10 | 1 | 4 | 7 | 3 | 8 | 11 | 5 | 8 | 8 | 6 | 4 | 2 | 4 | 5 | 5 | 7 | 7 | 5 | 7 | 31 | 27 | 34 | 8 | 19 | 5 | 17 | 27 | 11 | 9 | 15 | 30 | 14 | 33 | 16 | 20 | 11 | 9 | 9 | 4 | 8 | 1 | 3 | 8 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Principal_ideal | 1,583 | 10 | 45 | 43 | 44 | 33 | 20 | 38 | 43 | 47 | 53 | 37 | 39 | 28 | 28 | 44 | 39 | 20 | 14 | 14 | 15 | 31 | 25 | 41 | 16 | 12 | 18 | 16 | 14 | 10 | 7 | 10 | 21 | 17 | 19 | 16 | 20 | 20 | 17 | 29 | 15 | 6 | 11 | 6 | 8 | 14 | 12 | 5 | 15 | 5 | 10 | 10 | 7 | 3 | 0 | 2 | 2 | 9 | 12 | 19 | 6 | 5 | 12 | 16 | 10 | 4 | 0 | 4 | 5 | 13 | 8 | 4 | 15 | 8 | 10 | 9 | 5 | 11 | 8 | 1 | 7 | 7 | 1 | 3 | 4 | 8 | 4 | 5 | 12 | 13 | 9 | 5 | 8 | 7 | 9 | 18 | 12 | 8 | 7 | 7 | 13 | 10 | 4 | 6 | 3 | 5 | 4 | 5 | 4 | 2 | 5 | 2 | 3 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 3 | 2 | 0 | 0 | 0 | 1 | 5 | 4 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Integral_domain | 1,540 | 10 | 26 | 51 | 35 | 36 | 14 | 14 | 51 | 29 | 18 | 21 | 20 | 17 | 37 | 48 | 28 | 22 | 14 | 28 | 19 | 16 | 20 | 22 | 12 | 8 | 18 | 18 | 13 | 7 | 8 | 14 | 13 | 13 | 10 | 6 | 21 | 10 | 8 | 14 | 11 | 6 | 7 | 15 | 10 | 9 | 7 | 11 | 7 | 8 | 20 | 13 | 10 | 4 | 4 | 6 | 4 | 15 | 12 | 16 | 10 | 8 | 8 | 13 | 11 | 7 | 1 | 11 | 11 | 8 | 4 | 16 | 15 | 10 | 10 | 12 | 15 | 6 | 8 | 3 | 2 | 10 | 11 | 11 | 14 | 9 | 12 | 10 | 10 | 7 | 7 | 4 | 5 | 13 | 12 | 30 | 16 | 21 | 18 | 14 | 11 | 6 | 6 | 8 | 10 | 5 | 11 | 11 | 5 | 3 | 5 | 5 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 3 | 4 | 2 | 11 | 11 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_ring | 1,529 | 11 | 16 | 17 | 25 | 15 | 13 | 10 | 8 | 17 | 12 | 24 | 17 | 24 | 13 | 21 | 11 | 11 | 2 | 6 | 5 | 20 | 13 | 7 | 10 | 7 | 6 | 13 | 11 | 9 | 1 | 6 | 10 | 9 | 4 | 8 | 6 | 7 | 11 | 13 | 11 | 6 | 5 | 4 | 6 | 13 | 7 | 6 | 8 | 4 | 9 | 3 | 4 | 3 | 1 | 1 | 8 | 8 | 12 | 12 | 4 | 4 | 8 | 7 | 10 | 4 | 5 | 7 | 8 | 7 | 16 | 20 | 14 | 11 | 8 | 23 | 21 | 9 | 5 | 4 | 8 | 17 | 16 | 9 | 13 | 7 | 16 | 25 | 30 | 22 | 4 | 13 | 16 | 24 | 35 | 31 | 31 | 66 | 40 | 26 | 43 | 17 | 1 | 11 | 15 | 22 | 14 | 14 | 25 | 20 | 8 | 7 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 5 | 1 | 0 | 0 | 1 | 0 | 0 | 15 | 7 | 0 | 16 | 46 | 1 | 1 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Codimension_of_an_ideal | 1,511 | 9 | 18 | 23 | 22 | 24 | 14 | 23 | 23 | 22 | 50 | 26 | 42 | 11 | 11 | 20 | 18 | 9 | 17 | 15 | 19 | 20 | 25 | 27 | 38 | 23 | 22 | 36 | 42 | 26 | 29 | 30 | 29 | 43 | 44 | 40 | 48 | 26 | 21 | 32 | 25 | 17 | 21 | 23 | 27 | 42 | 38 | 15 | 28 | 15 | 23 | 20 | 18 | 14 | 14 | 10 | 12 | 18 | 26 | 14 | 7 | 15 | 7 | 3 | 2 | 3 | 1 | 2 | 1 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 1 | 0 | 2 | 2 | 0 | 1 | 2 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 2 | 3 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 1 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Principal_ideal_ring_iff… | 1,432 | 25 | 58 | 55 | 43 | 34 | 17 | 44 | 50 | 65 | 48 | 32 | 39 | 22 | 25 | 30 | 31 | 14 | 13 | 7 | 17 | 18 | 13 | 22 | 15 | 12 | 33 | 19 | 8 | 6 | 26 | 11 | 40 | 24 | 10 | 5 | 17 | 19 | 7 | 20 | 13 | 9 | 10 | 8 | 3 | 4 | 10 | 6 | 8 | 1 | 7 | 8 | 5 | 5 | 4 | 4 | 1 | 2 | 8 | 2 | 5 | 5 | 14 | 6 | 0 | 5 | 3 | 2 | 2 | 1 | 7 | 2 | 2 | 4 | 2 | 1 | 20 | 9 | 7 | 1 | 0 | 2 | 1 | 2 | 3 | 4 | 9 | 6 | 6 | 5 | 8 | 6 | 6 | 11 | 12 | 3 | 14 | 2 | 5 | 18 | 10 | 14 | 2 | 3 | 2 | 3 | 6 | 6 | 6 | 2 | 1 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 3 | 9 | 10 | 8 | 2 | 1 | 0 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 |
/wiki/Zero-dimensional_ring | 1,402 | 7 | 22 | 47 | 27 | 54 | 21 | 15 | 19 | 16 | 31 | 26 | 27 | 30 | 17 | 61 | 13 | 10 | 7 | 19 | 20 | 15 | 19 | 13 | 12 | 21 | 20 | 12 | 30 | 15 | 11 | 14 | 16 | 22 | 19 | 17 | 22 | 24 | 17 | 23 | 28 | 14 | 21 | 25 | 23 | 3 | 14 | 17 | 15 | 20 | 12 | 11 | 12 | 14 | 11 | 7 | 10 | 9 | 10 | 17 | 8 | 7 | 2 | 8 | 5 | 10 | 6 | 7 | 11 | 2 | 3 | 5 | 5 | 6 | 6 | 10 | 11 | 6 | 8 | 5 | 0 | 4 | 3 | 5 | 3 | 8 | 0 | 1 | 5 | 10 | 6 | 6 | 3 | 2 | 10 | 4 | 14 | 7 | 3 | 4 | 2 | 1 | 2 | 4 | 10 | 2 | 3 | 0 | 0 | 3 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 3 | 2 | 1 | 8 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
/wiki/UFD_not_implies_PID | 1,373 | 2 | 20 | 24 | 8 | 7 | 11 | 8 | 17 | 41 | 18 | 23 | 26 | 26 | 33 | 37 | 28 | 9 | 15 | 14 | 8 | 33 | 42 | 17 | 21 | 16 | 21 | 14 | 12 | 7 | 13 | 8 | 20 | 65 | 60 | 39 | 20 | 12 | 14 | 21 | 11 | 7 | 7 | 6 | 11 | 19 | 8 | 7 | 11 | 7 | 4 | 7 | 7 | 1 | 4 | 3 | 16 | 31 | 24 | 19 | 9 | 14 | 11 | 10 | 11 | 5 | 2 | 2 | 7 | 11 | 8 | 13 | 8 | 4 | 4 | 4 | 4 | 2 | 4 | 1 | 3 | 4 | 5 | 8 | 7 | 1 | 6 | 3 | 3 | 6 | 9 | 5 | 21 | 25 | 8 | 15 | 8 | 6 | 3 | 14 | 4 | 4 | 2 | 1 | 7 | 4 | 5 | 1 | 1 | 2 | 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_ring_has_fini… | 1,364 | 35 | 32 | 25 | 11 | 20 | 10 | 18 | 27 | 25 | 38 | 37 | 18 | 27 | 15 | 52 | 13 | 6 | 9 | 7 | 18 | 17 | 31 | 36 | 34 | 31 | 25 | 20 | 25 | 31 | 11 | 5 | 9 | 16 | 20 | 19 | 25 | 8 | 11 | 9 | 17 | 10 | 16 | 2 | 8 | 12 | 3 | 2 | 5 | 11 | 4 | 10 | 19 | 4 | 6 | 7 | 14 | 11 | 18 | 31 | 13 | 11 | 10 | 13 | 12 | 8 | 4 | 16 | 4 | 4 | 6 | 5 | 4 | 4 | 3 | 10 | 1 | 4 | 3 | 2 | 2 | 7 | 6 | 10 | 3 | 3 | 2 | 8 | 10 | 6 | 3 | 5 | 10 | 16 | 26 | 9 | 11 | 9 | 2 | 4 | 10 | 6 | 5 | 8 | 0 | 1 | 1 | 0 | 0 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Ideal_generated_by_two_p… | 1,332 | 10 | 23 | 21 | 33 | 28 | 9 | 14 | 18 | 27 | 35 | 27 | 25 | 6 | 11 | 17 | 20 | 6 | 6 | 12 | 12 | 10 | 14 | 11 | 8 | 14 | 20 | 26 | 59 | 10 | 23 | 18 | 17 | 13 | 19 | 21 | 25 | 24 | 16 | 20 | 16 | 18 | 13 | 10 | 17 | 23 | 23 | 21 | 15 | 9 | 10 | 24 | 31 | 8 | 4 | 5 | 11 | 15 | 23 | 12 | 6 | 6 | 3 | 5 | 7 | 7 | 3 | 2 | 2 | 9 | 13 | 11 | 11 | 4 | 12 | 5 | 11 | 4 | 1 | 2 | 1 | 6 | 10 | 5 | 5 | 3 | 7 | 7 | 8 | 18 | 8 | 6 | 3 | 14 | 11 | 6 | 6 | 8 | 4 | 6 | 5 | 4 | 0 | 3 | 1 | 1 | 1 | 5 | 3 | 2 | 1 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Equidimensional_ring | 1,303 | 3 | 21 | 10 | 16 | 15 | 11 | 23 | 15 | 32 | 13 | 6 | 10 | 20 | 13 | 35 | 29 | 10 | 17 | 18 | 20 | 16 | 14 | 13 | 23 | 23 | 23 | 33 | 33 | 16 | 19 | 30 | 23 | 18 | 14 | 10 | 27 | 11 | 7 | 20 | 20 | 11 | 13 | 18 | 28 | 6 | 4 | 19 | 11 | 14 | 22 | 21 | 12 | 14 | 7 | 6 | 8 | 14 | 12 | 26 | 8 | 18 | 23 | 14 | 9 | 10 | 5 | 8 | 18 | 13 | 11 | 7 | 8 | 9 | 5 | 8 | 14 | 6 | 5 | 7 | 9 | 17 | 12 | 13 | 5 | 7 | 1 | 8 | 5 | 1 | 0 | 3 | 1 | 1 | 1 | 1 | 4 | 1 | 0 | 2 | 1 | 1 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Primary_ideal | 1,231 | 10 | 29 | 27 | 18 | 11 | 6 | 38 | 28 | 32 | 22 | 24 | 31 | 9 | 16 | 15 | 12 | 10 | 7 | 8 | 12 | 14 | 15 | 14 | 6 | 15 | 7 | 6 | 9 | 11 | 4 | 12 | 24 | 18 | 22 | 11 | 16 | 3 | 11 | 24 | 15 | 20 | 8 | 7 | 10 | 10 | 6 | 14 | 7 | 7 | 16 | 2 | 8 | 2 | 5 | 8 | 17 | 10 | 21 | 9 | 12 | 10 | 5 | 7 | 13 | 1 | 8 | 3 | 6 | 19 | 3 | 6 | 5 | 3 | 12 | 15 | 6 | 3 | 7 | 3 | 9 | 7 | 13 | 6 | 4 | 1 | 5 | 1 | 5 | 5 | 2 | 6 | 3 | 12 | 8 | 12 | 9 | 16 | 15 | 21 | 11 | 9 | 3 | 0 | 10 | 10 | 22 | 12 | 19 | 11 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
/wiki/Krull_dimension | 1,194 | 11 | 21 | 40 | 37 | 27 | 15 | 22 | 26 | 36 | 54 | 32 | 28 | 44 | 35 | 25 | 12 | 12 | 11 | 11 | 14 | 12 | 15 | 14 | 17 | 14 | 8 | 15 | 22 | 15 | 13 | 15 | 19 | 12 | 22 | 18 | 20 | 19 | 12 | 23 | 12 | 11 | 10 | 13 | 18 | 11 | 15 | 6 | 11 | 8 | 7 | 9 | 8 | 4 | 7 | 2 | 5 | 8 | 17 | 5 | 8 | 3 | 4 | 7 | 11 | 2 | 0 | 7 | 5 | 1 | 6 | 11 | 3 | 9 | 2 | 3 | 4 | 3 | 1 | 1 | 2 | 6 | 1 | 2 | 4 | 5 | 2 | 3 | 7 | 7 | 0 | 0 | 2 | 6 | 5 | 5 | 2 | 2 | 5 | 3 | 3 | 3 | 0 | 2 | 3 | 1 | 2 | 1 | 3 | 2 | 0 | 3 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Nilradical_is_an_ideal | 1,191 | 12 | 53 | 56 | 46 | 28 | 18 | 26 | 31 | 49 | 47 | 73 | 52 | 44 | 32 | 33 | 33 | 27 | 14 | 6 | 10 | 35 | 19 | 36 | 37 | 42 | 15 | 45 | 22 | 22 | 9 | 12 | 12 | 18 | 24 | 35 | 19 | 13 | 14 | 11 | 2 | 6 | 1 | 1 | 4 | 5 | 1 | 3 | 0 | 3 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 8 | 0 | 0 | 0 | 1 | 4 | 4 | 0 | 0 | 2 | 2 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Normal_ring | 1,178 | 9 | 11 | 13 | 24 | 5 | 7 | 11 | 10 | 11 | 7 | 16 | 13 | 13 | 22 | 30 | 9 | 8 | 6 | 10 | 9 | 6 | 14 | 8 | 8 | 9 | 25 | 11 | 10 | 9 | 3 | 11 | 2 | 5 | 8 | 3 | 8 | 19 | 11 | 8 | 11 | 7 | 16 | 13 | 2 | 11 | 7 | 9 | 4 | 8 | 7 | 10 | 9 | 4 | 12 | 1 | 6 | 1 | 7 | 4 | 7 | 4 | 8 | 9 | 12 | 7 | 4 | 5 | 4 | 5 | 10 | 7 | 7 | 5 | 6 | 2 | 7 | 8 | 2 | 1 | 6 | 8 | 4 | 5 | 8 | 12 | 15 | 42 | 41 | 20 | 2 | 5 | 6 | 14 | 26 | 7 | 12 | 22 | 14 | 22 | 10 | 15 | 4 | 2 | 8 | 9 | 14 | 9 | 35 | 13 | 6 | 9 | 9 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 2 | 0 | 1 | 0 | 3 | 2 | 14 | 8 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 3 | 5 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Multiplicative_Euclidean… | 1,098 | 5 | 13 | 18 | 26 | 21 | 27 | 13 | 24 | 20 | 16 | 13 | 30 | 25 | 19 | 14 | 36 | 36 | 10 | 12 | 17 | 16 | 20 | 25 | 14 | 16 | 10 | 14 | 18 | 16 | 11 | 7 | 8 | 13 | 12 | 10 | 8 | 10 | 9 | 26 | 8 | 3 | 5 | 5 | 15 | 13 | 6 | 8 | 6 | 11 | 7 | 6 | 5 | 15 | 8 | 2 | 2 | 6 | 8 | 9 | 8 | 4 | 11 | 11 | 7 | 5 | 1 | 2 | 4 | 9 | 6 | 6 | 5 | 6 | 7 | 9 | 6 | 5 | 1 | 4 | 2 | 6 | 6 | 3 | 3 | 7 | 4 | 5 | 8 | 5 | 2 | 9 | 3 | 9 | 3 | 4 | 10 | 6 | 5 | 6 | 12 | 2 | 7 | 4 | 9 | 1 | 11 | 4 | 4 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 4 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Unique_factorization_dom… | 1,019 | 1 | 14 | 12 | 22 | 13 | 9 | 14 | 13 | 25 | 20 | 13 | 14 | 20 | 15 | 16 | 23 | 10 | 3 | 1 | 14 | 9 | 7 | 10 | 17 | 5 | 3 | 5 | 4 | 6 | 8 | 6 | 13 | 7 | 18 | 7 | 14 | 6 | 5 | 10 | 10 | 7 | 3 | 10 | 9 | 16 | 8 | 6 | 7 | 11 | 11 | 14 | 9 | 7 | 3 | 3 | 7 | 10 | 13 | 12 | 11 | 10 | 13 | 16 | 16 | 3 | 6 | 8 | 13 | 6 | 4 | 8 | 8 | 14 | 12 | 16 | 11 | 1 | 2 | 1 | 3 | 10 | 14 | 3 | 16 | 9 | 19 | 9 | 13 | 5 | 3 | 4 | 9 | 9 | 7 | 8 | 3 | 5 | 6 | 7 | 5 | 9 | 1 | 4 | 9 | 3 | 6 | 3 | 5 | 5 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4 | 1 | 1 | 1 | 4 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Polynomial_ring_over_int… | 1,013 | 0 | 6 | 6 | 11 | 11 | 0 | 10 | 11 | 13 | 8 | 8 | 9 | 5 | 7 | 19 | 10 | 9 | 1 | 1 | 7 | 13 | 12 | 14 | 7 | 8 | 7 | 7 | 10 | 5 | 14 | 16 | 9 | 17 | 17 | 24 | 11 | 32 | 14 | 8 | 14 | 7 | 9 | 10 | 15 | 12 | 4 | 19 | 5 | 3 | 1 | 11 | 5 | 1 | 3 | 3 | 6 | 6 | 6 | 7 | 4 | 10 | 3 | 2 | 8 | 3 | 3 | 1 | 9 | 9 | 26 | 6 | 7 | 13 | 12 | 4 | 19 | 21 | 3 | 0 | 6 | 7 | 7 | 7 | 5 | 18 | 6 | 9 | 1 | 22 | 5 | 3 | 14 | 20 | 14 | 17 | 4 | 18 | 5 | 18 | 17 | 15 | 6 | 6 | 4 | 15 | 5 | 1 | 1 | 18 | 0 | 0 | 1 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Artin-Tate_lemma | 994 | 9 | 6 | 7 | 9 | 9 | 7 | 8 | 0 | 25 | 16 | 30 | 14 | 8 | 2 | 9 | 16 | 15 | 4 | 2 | 5 | 3 | 4 | 12 | 13 | 4 | 12 | 3 | 12 | 10 | 9 | 4 | 12 | 1 | 11 | 0 | 11 | 5 | 14 | 18 | 10 | 8 | 3 | 7 | 3 | 5 | 5 | 6 | 10 | 7 | 8 | 7 | 9 | 14 | 5 | 3 | 2 | 8 | 7 | 11 | 14 | 3 | 7 | 9 | 17 | 2 | 8 | 10 | 20 | 15 | 26 | 36 | 32 | 11 | 13 | 27 | 15 | 18 | 5 | 19 | 18 | 19 | 10 | 15 | 21 | 19 | 6 | 11 | 1 | 3 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 2 | 0 | 1 | 4 | 0 | 1 | 2 | 1 | 1 | 2 | 1 | 6 | 0 | 1 | 0 | 5 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 1 | 1 | 1 | 0 | 4 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 0 | 0 | 0 | 0 | 10 | 0 | 0 |
/wiki/Prime_ideal | 991 | 13 | 23 | 16 | 18 | 11 | 10 | 7 | 8 | 17 | 25 | 20 | 17 | 16 | 17 | 15 | 9 | 7 | 11 | 8 | 10 | 18 | 28 | 11 | 4 | 6 | 8 | 8 | 7 | 4 | 2 | 11 | 11 | 10 | 4 | 5 | 8 | 7 | 5 | 10 | 10 | 7 | 4 | 7 | 5 | 5 | 4 | 8 | 4 | 3 | 8 | 0 | 4 | 4 | 1 | 1 | 2 | 5 | 10 | 6 | 8 | 3 | 4 | 8 | 5 | 5 | 0 | 7 | 4 | 9 | 10 | 15 | 6 | 2 | 8 | 15 | 12 | 13 | 5 | 4 | 2 | 4 | 7 | 5 | 2 | 4 | 4 | 7 | 12 | 9 | 6 | 4 | 6 | 16 | 14 | 11 | 11 | 10 | 17 | 15 | 20 | 8 | 2 | 7 | 3 | 10 | 4 | 10 | 22 | 8 | 7 | 2 | 3 | 0 | 0 | 0 | 1 | 3 | 0 | 0 | 1 | 0 | 2 | 2 | 0 | 0 | 0 | 1 | 0 | 1 | 6 | 1 | 0 | 1 | 4 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 2 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_local_ring | 967 | 16 | 41 | 47 | 22 | 21 | 23 | 24 | 26 | 35 | 35 | 30 | 31 | 28 | 35 | 45 | 36 | 25 | 28 | 26 | 21 | 31 | 19 | 25 | 18 | 28 | 13 | 30 | 29 | 9 | 3 | 15 | 19 | 18 | 18 | 21 | 5 | 7 | 3 | 8 | 3 | 2 | 2 | 6 | 3 | 0 | 3 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 2 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
/wiki/Cohen-Macaulay_ring | 938 | 8 | 14 | 11 | 2 | 15 | 7 | 9 | 9 | 16 | 16 | 16 | 7 | 3 | 6 | 4 | 7 | 3 | 7 | 12 | 8 | 18 | 7 | 9 | 2 | 4 | 4 | 3 | 7 | 3 | 3 | 12 | 8 | 7 | 4 | 4 | 3 | 2 | 12 | 17 | 9 | 10 | 16 | 12 | 31 | 11 | 1 | 8 | 4 | 5 | 10 | 7 | 3 | 1 | 3 | 2 | 10 | 5 | 4 | 9 | 9 | 4 | 5 | 10 | 3 | 5 | 2 | 4 | 11 | 8 | 7 | 9 | 12 | 20 | 11 | 7 | 4 | 6 | 21 | 12 | 11 | 4 | 15 | 7 | 6 | 7 | 10 | 12 | 9 | 6 | 10 | 10 | 5 | 7 | 8 | 9 | 10 | 14 | 16 | 13 | 4 | 6 | 7 | 5 | 7 | 6 | 12 | 5 | 5 | 7 | 7 | 3 | 3 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 4 | 8 | 5 | 3 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Integral_extension_impli… | 867 | 8 | 14 | 34 | 26 | 15 | 9 | 5 | 18 | 12 | 20 | 26 | 13 | 14 | 5 | 13 | 17 | 9 | 5 | 7 | 11 | 1 | 15 | 9 | 5 | 16 | 15 | 17 | 14 | 11 | 5 | 12 | 14 | 28 | 19 | 14 | 19 | 14 | 16 | 11 | 12 | 5 | 8 | 7 | 4 | 17 | 6 | 6 | 13 | 4 | 4 | 3 | 3 | 9 | 2 | 7 | 9 | 5 | 6 | 10 | 8 | 2 | 4 | 2 | 5 | 2 | 2 | 8 | 7 | 5 | 9 | 7 | 8 | 3 | 3 | 4 | 4 | 3 | 1 | 1 | 6 | 1 | 1 | 0 | 2 | 3 | 5 | 2 | 7 | 0 | 0 | 0 | 2 | 15 | 5 | 4 | 5 | 6 | 0 | 17 | 3 | 1 | 0 | 1 | 1 | 5 | 1 | 1 | 1 | 1 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_domain | 865 | 10 | 33 | 42 | 25 | 21 | 14 | 18 | 18 | 27 | 13 | 27 | 27 | 31 | 28 | 35 | 31 | 28 | 7 | 11 | 12 | 20 | 17 | 17 | 14 | 12 | 25 | 16 | 7 | 7 | 5 | 4 | 12 | 5 | 19 | 10 | 5 | 8 | 6 | 6 | 6 | 4 | 2 | 7 | 6 | 8 | 6 | 3 | 6 | 2 | 1 | 2 | 2 | 3 | 6 | 1 | 4 | 6 | 4 | 2 | 3 | 2 | 1 | 3 | 4 | 1 | 1 | 0 | 3 | 3 | 0 | 3 | 1 | 4 | 0 | 1 | 2 | 3 | 0 | 0 | 0 | 3 | 0 | 7 | 1 | 1 | 3 | 3 | 0 | 4 | 2 | 1 | 2 | 1 | 2 | 3 | 1 | 5 | 6 | 2 | 2 | 2 | 1 | 1 | 2 | 1 | 2 | 3 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4 | 0 | 3 | 1 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Element_of_minimum_norm_… | 847 | 1 | 5 | 15 | 2 | 5 | 2 | 0 | 4 | 17 | 6 | 2 | 21 | 9 | 15 | 4 | 0 | 2 | 3 | 1 | 5 | 30 | 6 | 7 | 9 | 2 | 8 | 5 | 10 | 6 | 4 | 4 | 11 | 22 | 13 | 12 | 17 | 4 | 17 | 9 | 5 | 3 | 3 | 11 | 2 | 14 | 4 | 2 | 0 | 0 | 3 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 5 | 0 | 5 | 2 | 1 | 6 | 4 | 0 | 0 | 2 | 1 | 0 | 4 | 0 | 2 | 8 | 0 | 5 | 0 | 0 | 0 | 0 | 1 | 0 | 9 | 0 | 4 | 0 | 7 | 3 | 0 | 0 | 2 | 1 | 6 | 20 | 5 | 2 | 4 | 9 | 15 | 17 | 9 | 32 | 5 | 3 | 2 | 11 | 7 | 0 | 8 | 3 | 9 | 22 | 40 | 52 | 67 | 1 | 7 | 3 | 2 | 0 | 1 | 3 | 1 | 8 | 1 | 3 | 1 | 2 | 5 | 4 | 3 | 7 | 1 | 1 | 2 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Ring_equals_max-localiza… | 826 | 3 | 9 | 1 | 4 | 6 | 2 | 3 | 10 | 2 | 5 | 4 | 3 | 3 | 3 | 3 | 12 | 6 | 2 | 3 | 1 | 5 | 1 | 3 | 4 | 1 | 5 | 1 | 4 | 2 | 1 | 2 | 4 | 4 | 2 | 1 | 7 | 2 | 7 | 19 | 2 | 5 | 5 | 8 | 2 | 3 | 9 | 8 | 3 | 5 | 6 | 16 | 8 | 8 | 4 | 3 | 4 | 9 | 17 | 16 | 3 | 3 | 4 | 11 | 43 | 4 | 10 | 6 | 11 | 6 | 9 | 8 | 7 | 14 | 17 | 10 | 16 | 13 | 1 | 3 | 7 | 10 | 9 | 4 | 10 | 17 | 29 | 24 | 9 | 17 | 8 | 14 | 18 | 17 | 17 | 4 | 3 | 24 | 12 | 12 | 16 | 1 | 3 | 6 | 2 | 4 | 7 | 1 | 4 | 1 | 1 | 5 | 3 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Artin-Rees_lemma | 790 | 11 | 11 | 14 | 6 | 1 | 3 | 9 | 14 | 22 | 13 | 13 | 6 | 3 | 13 | 17 | 5 | 5 | 7 | 13 | 12 | 7 | 9 | 17 | 11 | 5 | 4 | 8 | 6 | 2 | 1 | 6 | 11 | 7 | 9 | 11 | 12 | 18 | 3 | 9 | 3 | 6 | 6 | 4 | 3 | 4 | 2 | 2 | 1 | 3 | 2 | 6 | 2 | 0 | 0 | 4 | 0 | 2 | 4 | 5 | 4 | 3 | 1 | 7 | 1 | 6 | 4 | 3 | 5 | 4 | 12 | 6 | 8 | 8 | 18 | 16 | 6 | 2 | 5 | 8 | 7 | 3 | 15 | 9 | 1 | 0 | 2 | 16 | 8 | 2 | 5 | 9 | 5 | 5 | 11 | 10 | 5 | 10 | 6 | 12 | 6 | 5 | 4 | 6 | 6 | 1 | 3 | 3 | 2 | 1 | 7 | 6 | 5 | 3 | 2 | 3 | 1 | 3 | 5 | 1 | 0 | 1 | 0 | 1 | 2 | 1 | 5 | 0 | 2 | 3 | 4 | 3 | 0 | 0 | 3 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 5 | 0 | 1 | 0 | 1 | 1 | 0 | 0 |
/wiki/Affine_domain | 787 | 7 | 11 | 12 | 6 | 4 | 7 | 5 | 2 | 18 | 8 | 8 | 9 | 10 | 18 | 9 | 14 | 17 | 11 | 9 | 9 | 12 | 12 | 22 | 6 | 11 | 8 | 8 | 10 | 5 | 17 | 18 | 7 | 7 | 12 | 4 | 5 | 15 | 18 | 11 | 13 | 12 | 4 | 2 | 11 | 29 | 16 | 7 | 8 | 12 | 12 | 20 | 18 | 8 | 3 | 5 | 16 | 10 | 13 | 13 | 7 | 13 | 3 | 12 | 11 | 6 | 5 | 3 | 3 | 4 | 16 | 6 | 1 | 4 | 1 | 11 | 6 | 4 | 2 | 2 | 3 | 0 | 5 | 3 | 4 | 0 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Spectrum_of_a_commutativ… | 775 | 2 | 4 | 7 | 7 | 5 | 2 | 3 | 2 | 3 | 4 | 11 | 11 | 9 | 0 | 5 | 9 | 6 | 1 | 2 | 4 | 6 | 4 | 4 | 5 | 5 | 0 | 4 | 1 | 5 | 2 | 2 | 6 | 13 | 7 | 12 | 11 | 3 | 8 | 10 | 13 | 3 | 9 | 12 | 6 | 13 | 3 | 8 | 5 | 7 | 4 | 8 | 3 | 9 | 2 | 1 | 3 | 4 | 2 | 8 | 10 | 7 | 7 | 4 | 4 | 9 | 0 | 1 | 3 | 9 | 9 | 11 | 6 | 3 | 7 | 14 | 14 | 5 | 8 | 5 | 5 | 1 | 6 | 9 | 11 | 15 | 3 | 7 | 9 | 9 | 4 | 8 | 12 | 5 | 14 | 5 | 16 | 21 | 13 | 28 | 16 | 10 | 2 | 8 | 4 | 9 | 7 | 0 | 4 | 4 | 1 | 5 | 6 | 5 | 0 | 0 | 3 | 0 | 1 | 0 | 0 | 0 | 2 | 2 | 3 | 3 | 5 | 1 | 3 | 1 | 1 | 0 | 2 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Jacobson_ring | 765 | 2 | 9 | 13 | 4 | 13 | 5 | 14 | 23 | 15 | 19 | 11 | 6 | 5 | 14 | 8 | 9 | 5 | 7 | 7 | 4 | 10 | 14 | 12 | 1 | 2 | 14 | 8 | 5 | 4 | 0 | 5 | 8 | 15 | 3 | 11 | 14 | 9 | 3 | 12 | 8 | 4 | 1 | 7 | 6 | 19 | 5 | 6 | 5 | 2 | 5 | 4 | 4 | 2 | 2 | 0 | 4 | 3 | 9 | 2 | 5 | 5 | 7 | 11 | 23 | 1 | 1 | 1 | 4 | 2 | 4 | 4 | 2 | 4 | 1 | 16 | 10 | 6 | 5 | 3 | 3 | 3 | 5 | 9 | 16 | 5 | 6 | 12 | 13 | 3 | 4 | 3 | 1 | 7 | 7 | 12 | 8 | 14 | 8 | 7 | 5 | 3 | 3 | 4 | 5 | 6 | 6 | 2 | 1 | 5 | 1 | 3 | 0 | 3 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 1 | 3 | 3 | 0 | 3 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
/wiki/Semisimple_Artinian_ring… | 731 | 4 | 12 | 8 | 10 | 8 | 4 | 8 | 13 | 11 | 13 | 10 | 9 | 10 | 5 | 19 | 13 | 10 | 2 | 3 | 6 | 17 | 3 | 9 | 8 | 2 | 4 | 6 | 5 | 5 | 1 | 15 | 14 | 14 | 6 | 11 | 3 | 13 | 9 | 14 | 12 | 4 | 10 | 32 | 7 | 9 | 17 | 2 | 8 | 4 | 5 | 4 | 3 | 0 | 2 | 4 | 5 | 4 | 8 | 6 | 5 | 2 | 8 | 5 | 1 | 4 | 7 | 7 | 6 | 5 | 4 | 10 | 9 | 14 | 9 | 7 | 8 | 2 | 2 | 1 | 1 | 6 | 2 | 3 | 5 | 3 | 2 | 3 | 4 | 1 | 2 | 4 | 8 | 8 | 13 | 7 | 2 | 5 | 6 | 9 | 7 | 0 | 4 | 6 | 1 | 5 | 2 | 1 | 1 | 1 | 2 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Primary_ring | 718 | 5 | 11 | 11 | 9 | 10 | 5 | 7 | 17 | 8 | 11 | 15 | 12 | 15 | 5 | 14 | 12 | 9 | 9 | 9 | 13 | 17 | 45 | 17 | 11 | 13 | 5 | 9 | 4 | 12 | 6 | 10 | 13 | 6 | 9 | 10 | 10 | 2 | 4 | 10 | 6 | 5 | 10 | 4 | 7 | 13 | 4 | 11 | 11 | 10 | 5 | 6 | 18 | 10 | 3 | 14 | 7 | 6 | 8 | 2 | 6 | 5 | 7 | 12 | 5 | 12 | 4 | 6 | 5 | 3 | 4 | 2 | 2 | 6 | 1 | 2 | 1 | 5 | 1 | 1 | 4 | 4 | 4 | 6 | 3 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 3 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 1 | 1 | 0 | 10 | 1 | 2 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Annihilator_of_Noetheria… | 690 | 4 | 17 | 25 | 19 | 20 | 4 | 8 | 14 | 8 | 5 | 6 | 4 | 2 | 4 | 20 | 6 | 0 | 1 | 2 | 3 | 4 | 8 | 7 | 5 | 1 | 5 | 8 | 12 | 7 | 7 | 15 | 3 | 1 | 9 | 3 | 2 | 9 | 8 | 15 | 2 | 4 | 2 | 6 | 1 | 11 | 9 | 4 | 2 | 0 | 7 | 8 | 2 | 4 | 2 | 2 | 8 | 0 | 1 | 7 | 5 | 0 | 7 | 11 | 2 | 6 | 0 | 6 | 9 | 9 | 9 | 11 | 5 | 7 | 18 | 2 | 10 | 2 | 3 | 3 | 3 | 3 | 2 | 44 | 4 | 10 | 9 | 6 | 2 | 2 | 0 | 1 | 11 | 5 | 5 | 34 | 2 | 8 | 1 | 6 | 7 | 0 | 0 | 1 | 0 | 0 | 1 | 6 | 3 | 0 | 0 | 1 | 3 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Integral_morphism | 667 | 1 | 11 | 4 | 6 | 8 | 14 | 6 | 59 | 45 | 40 | 6 | 9 | 7 | 3 | 9 | 18 | 7 | 2 | 5 | 6 | 4 | 6 | 11 | 9 | 17 | 3 | 10 | 16 | 28 | 4 | 3 | 5 | 9 | 2 | 8 | 8 | 4 | 3 | 7 | 2 | 1 | 0 | 1 | 0 | 5 | 3 | 2 | 1 | 4 | 1 | 0 | 2 | 4 | 3 | 5 | 2 | 9 | 1 | 6 | 2 | 6 | 3 | 6 | 1 | 4 | 1 | 7 | 0 | 9 | 6 | 8 | 3 | 3 | 7 | 8 | 3 | 2 | 9 | 9 | 0 | 4 | 2 | 4 | 6 | 5 | 5 | 2 | 4 | 1 | 3 | 2 | 0 | 4 | 2 | 3 | 3 | 2 | 5 | 6 | 9 | 1 | 2 | 7 | 1 | 2 | 0 | 2 | 2 | 2 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_implies_every… | 666 | 2 | 9 | 8 | 19 | 11 | 2 | 5 | 0 | 10 | 22 | 7 | 8 | 7 | 11 | 25 | 3 | 3 | 9 | 3 | 11 | 4 | 20 | 16 | 11 | 2 | 8 | 8 | 11 | 0 | 4 | 11 | 2 | 4 | 1 | 9 | 11 | 2 | 7 | 9 | 8 | 5 | 13 | 8 | 7 | 12 | 6 | 2 | 6 | 3 | 2 | 11 | 7 | 3 | 2 | 5 | 2 | 7 | 5 | 8 | 3 | 3 | 5 | 8 | 4 | 10 | 3 | 2 | 11 | 3 | 6 | 6 | 17 | 0 | 8 | 5 | 8 | 2 | 1 | 0 | 1 | 6 | 5 | 5 | 2 | 5 | 2 | 2 | 5 | 1 | 1 | 14 | 5 | 12 | 2 | 7 | 14 | 4 | 1 | 4 | 5 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 4 | 3 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 5 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Every_proper_ideal_is_co… | 642 | 8 | 27 | 38 | 17 | 21 | 10 | 27 | 33 | 25 | 34 | 12 | 24 | 13 | 22 | 21 | 16 | 8 | 9 | 12 | 10 | 8 | 14 | 12 | 11 | 4 | 13 | 15 | 9 | 2 | 5 | 10 | 9 | 8 | 10 | 4 | 4 | 3 | 4 | 5 | 3 | 7 | 12 | 8 | 1 | 8 | 2 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 4 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 2 | 2 | 3 | 0 | 1 | 0 | 2 | 0 | 1 | 0 | 2 | 0 | 1 | 1 | 4 | 1 | 1 | 1 | 2 | 1 | 3 | 3 | 4 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Krull_intersection_theor… | 637 | 4 | 10 | 23 | 5 | 2 | 13 | 12 | 12 | 7 | 19 | 14 | 8 | 10 | 8 | 26 | 9 | 5 | 0 | 2 | 11 | 2 | 6 | 7 | 12 | 10 | 4 | 2 | 7 | 7 | 7 | 3 | 7 | 11 | 2 | 17 | 4 | 5 | 1 | 9 | 2 | 2 | 4 | 3 | 4 | 5 | 6 | 3 | 1 | 4 | 2 | 8 | 1 | 4 | 0 | 7 | 1 | 1 | 2 | 0 | 5 | 7 | 7 | 5 | 8 | 0 | 4 | 1 | 2 | 0 | 9 | 2 | 4 | 2 | 1 | 10 | 3 | 2 | 7 | 2 | 5 | 0 | 19 | 1 | 6 | 1 | 4 | 8 | 22 | 2 | 3 | 0 | 9 | 7 | 31 | 12 | 7 | 3 | 5 | 10 | 2 | 2 | 1 | 2 | 0 | 0 | 4 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Total_quotient_ring | 637 | 1 | 13 | 9 | 8 | 4 | 3 | 3 | 5 | 4 | 12 | 22 | 14 | 14 | 10 | 16 | 21 | 13 | 14 | 12 | 11 | 6 | 11 | 16 | 7 | 8 | 15 | 13 | 10 | 12 | 15 | 19 | 4 | 14 | 7 | 7 | 16 | 5 | 8 | 9 | 5 | 14 | 13 | 5 | 7 | 7 | 4 | 1 | 7 | 4 | 2 | 0 | 3 | 1 | 1 | 5 | 4 | 0 | 0 | 0 | 1 | 1 | 3 | 0 | 9 | 1 | 1 | 0 | 1 | 3 | 2 | 1 | 1 | 3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 3 | 3 | 0 | 1 | 2 | 6 | 8 | 6 | 4 | 1 | 0 | 3 | 7 | 11 | 4 | 0 | 3 | 2 | 6 | 4 | 0 | 1 | 2 | 3 | 3 | 4 | 1 | 5 | 0 | 2 | 2 | 2 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Affine_ring | 629 | 3 | 10 | 20 | 8 | 16 | 11 | 12 | 9 | 23 | 14 | 21 | 11 | 14 | 20 | 9 | 17 | 25 | 10 | 8 | 8 | 7 | 16 | 24 | 13 | 8 | 9 | 16 | 16 | 9 | 6 | 14 | 12 | 13 | 13 | 18 | 18 | 18 | 8 | 18 | 16 | 10 | 6 | 3 | 14 | 15 | 6 | 4 | 2 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 5 | 2 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
/wiki/Reduced_Noetherian_impli… | 628 | 1 | 7 | 9 | 8 | 12 | 3 | 8 | 3 | 11 | 15 | 7 | 13 | 3 | 2 | 14 | 5 | 12 | 3 | 3 | 8 | 5 | 6 | 23 | 15 | 4 | 4 | 15 | 11 | 4 | 4 | 6 | 10 | 9 | 2 | 2 | 7 | 3 | 0 | 4 | 2 | 5 | 14 | 1 | 1 | 7 | 4 | 0 | 1 | 2 | 2 | 16 | 9 | 7 | 2 | 4 | 4 | 3 | 8 | 21 | 4 | 1 | 0 | 10 | 11 | 8 | 4 | 8 | 9 | 16 | 8 | 15 | 15 | 2 | 5 | 8 | 7 | 1 | 0 | 1 | 1 | 2 | 1 | 3 | 2 | 4 | 3 | 8 | 7 | 3 | 2 | 1 | 6 | 12 | 5 | 2 | 5 | 7 | 1 | 1 | 11 | 1 | 0 | 2 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Krull's_height_theorem | 620 | 1 | 15 | 15 | 21 | 16 | 10 | 15 | 9 | 14 | 8 | 20 | 4 | 4 | 1 | 5 | 14 | 12 | 2 | 13 | 9 | 8 | 5 | 5 | 3 | 3 | 9 | 13 | 6 | 17 | 9 | 17 | 14 | 18 | 26 | 13 | 22 | 11 | 11 | 9 | 19 | 5 | 6 | 7 | 5 | 8 | 3 | 1 | 9 | 1 | 7 | 4 | 0 | 1 | 3 | 0 | 2 | 1 | 4 | 2 | 2 | 5 | 3 | 4 | 3 | 3 | 0 | 1 | 2 | 4 | 1 | 14 | 1 | 3 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 8 | 0 | 1 | 3 | 4 | 1 | 1 | 3 | 1 | 1 | 3 | 3 | 2 | 1 | 0 | 1 | 2 | 1 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 4 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Dedekind-Hasse_norm_impl… | 620 | 2 | 5 | 7 | 10 | 6 | 2 | 4 | 9 | 12 | 27 | 11 | 27 | 20 | 12 | 6 | 1 | 7 | 7 | 2 | 11 | 10 | 17 | 9 | 5 | 6 | 4 | 16 | 6 | 11 | 1 | 7 | 3 | 18 | 8 | 7 | 13 | 17 | 6 | 9 | 6 | 2 | 3 | 3 | 4 | 1 | 8 | 25 | 1 | 3 | 1 | 1 | 2 | 1 | 3 | 0 | 5 | 5 | 0 | 14 | 3 | 1 | 9 | 0 | 2 | 4 | 1 | 5 | 5 | 2 | 2 | 3 | 4 | 6 | 9 | 4 | 1 | 1 | 4 | 2 | 13 | 1 | 3 | 5 | 2 | 2 | 3 | 3 | 2 | 1 | 3 | 1 | 3 | 1 | 6 | 4 | 13 | 1 | 7 | 4 | 3 | 1 | 5 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
/wiki/Dimension_of_an_ideal | 616 | 9 | 21 | 17 | 34 | 10 | 8 | 10 | 22 | 17 | 21 | 17 | 14 | 35 | 15 | 16 | 18 | 6 | 8 | 13 | 12 | 14 | 15 | 12 | 15 | 9 | 9 | 13 | 17 | 12 | 5 | 10 | 14 | 13 | 8 | 9 | 9 | 6 | 10 | 9 | 1 | 6 | 2 | 3 | 9 | 2 | 0 | 2 | 1 | 2 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | 0 | 2 | 3 | 0 | 4 | 3 | 2 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 2 | 1 | 2 | 0 | 1 | 0 | 0 | 0 | 3 | 5 | 0 | 2 | 1 | 0 | 3 | 0 | 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Krull's_principal_ideal_… | 604 | 2 | 7 | 5 | 5 | 4 | 4 | 5 | 8 | 11 | 16 | 6 | 9 | 24 | 11 | 9 | 3 | 4 | 3 | 9 | 3 | 5 | 7 | 14 | 4 | 7 | 12 | 42 | 11 | 7 | 1 | 2 | 11 | 6 | 9 | 8 | 10 | 6 | 3 | 10 | 8 | 1 | 0 | 8 | 6 | 11 | 2 | 1 | 5 | 2 | 5 | 3 | 5 | 0 | 2 | 2 | 1 | 2 | 6 | 2 | 4 | 1 | 0 | 3 | 2 | 4 | 0 | 1 | 3 | 5 | 14 | 18 | 4 | 2 | 2 | 3 | 1 | 0 | 1 | 0 | 3 | 8 | 2 | 5 | 6 | 10 | 3 | 3 | 3 | 11 | 3 | 6 | 8 | 8 | 11 | 6 | 11 | 4 | 2 | 4 | 5 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 6 | 3 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/One-dimensional_ring | 595 | 3 | 17 | 11 | 17 | 19 | 7 | 4 | 10 | 5 | 13 | 9 | 3 | 13 | 8 | 20 | 10 | 4 | 7 | 6 | 12 | 7 | 31 | 14 | 4 | 7 | 3 | 7 | 6 | 9 | 2 | 3 | 7 | 11 | 10 | 10 | 7 | 7 | 5 | 10 | 7 | 13 | 2 | 4 | 7 | 21 | 8 | 12 | 7 | 9 | 2 | 6 | 8 | 2 | 0 | 3 | 4 | 5 | 5 | 2 | 8 | 0 | 4 | 5 | 3 | 0 | 6 | 2 | 2 | 2 | 6 | 5 | 3 | 2 | 6 | 2 | 2 | 0 | 3 | 0 | 5 | 1 | 1 | 4 | 1 | 1 | 2 | 4 | 1 | 0 | 3 | 0 | 1 | 3 | 1 | 2 | 3 | 5 | 2 | 0 | 1 | 1 | 0 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Quasilocal_ring | 588 | 10 | 6 | 4 | 12 | 8 | 11 | 13 | 13 | 17 | 8 | 17 | 13 | 18 | 8 | 8 | 9 | 15 | 3 | 3 | 0 | 10 | 11 | 10 | 11 | 18 | 5 | 10 | 13 | 3 | 6 | 6 | 14 | 16 | 15 | 5 | 12 | 13 | 10 | 7 | 8 | 9 | 6 | 8 | 7 | 10 | 2 | 9 | 18 | 8 | 7 | 6 | 2 | 4 | 5 | 2 | 3 | 12 | 5 | 7 | 8 | 3 | 0 | 2 | 3 | 6 | 7 | 5 | 3 | 0 | 1 | 0 | 1 | 2 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 2 | 0 | 3 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Reduced_ring | 585 | 1 | 14 | 17 | 10 | 16 | 7 | 2 | 14 | 14 | 11 | 18 | 11 | 15 | 15 | 16 | 4 | 12 | 3 | 1 | 0 | 1 | 8 | 3 | 3 | 4 | 3 | 2 | 2 | 1 | 1 | 2 | 0 | 1 | 5 | 3 | 6 | 5 | 0 | 7 | 5 | 4 | 6 | 6 | 9 | 7 | 6 | 4 | 6 | 2 | 0 | 5 | 2 | 0 | 4 | 0 | 4 | 2 | 1 | 2 | 9 | 2 | 5 | 9 | 8 | 2 | 0 | 1 | 6 | 1 | 8 | 2 | 2 | 5 | 9 | 1 | 2 | 10 | 0 | 2 | 4 | 1 | 3 | 2 | 1 | 1 | 5 | 3 | 4 | 11 | 3 | 2 | 5 | 2 | 6 | 4 | 2 | 9 | 3 | 10 | 0 | 2 | 0 | 4 | 7 | 8 | 3 | 10 | 18 | 6 | 2 | 6 | 7 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 5 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Spectrum_is_sober | 579 | 0 | 3 | 3 | 5 | 1 | 1 | 1 | 1 | 0 | 0 | 2 | 1 | 8 | 1 | 0 | 0 | 1 | 0 | 1 | 5 | 1 | 1 | 0 | 1 | 2 | 0 | 4 | 0 | 1 | 0 | 0 | 0 | 2 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 9 | 2 | 0 | 0 | 0 | 0 | 2 | 2 | 3 | 0 | 2 | 0 | 8 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 67 | 128 | 88 | 60 | 66 | 71 | 0 | 1 | 3 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 2 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Invertible_plus_nilpoten… | 546 | 2 | 38 | 27 | 10 | 17 | 6 | 10 | 17 | 10 | 7 | 5 | 7 | 4 | 3 | 3 | 4 | 10 | 2 | 8 | 1 | 7 | 12 | 5 | 4 | 1 | 6 | 9 | 12 | 3 | 3 | 5 | 3 | 4 | 13 | 6 | 6 | 6 | 3 | 4 | 25 | 1 | 3 | 2 | 4 | 9 | 2 | 7 | 10 | 14 | 5 | 11 | 3 | 12 | 3 | 1 | 1 | 8 | 2 | 2 | 4 | 4 | 1 | 6 | 6 | 2 | 4 | 1 | 6 | 0 | 3 | 2 | 4 | 3 | 2 | 2 | 4 | 0 | 3 | 0 | 1 | 2 | 1 | 0 | 1 | 1 | 8 | 3 | 3 | 2 | 0 | 0 | 1 | 4 | 2 | 0 | 1 | 1 | 3 | 2 | 0 | 1 | 3 | 0 | 0 | 3 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 2 | 1 | 0 | 0 | 0 |
/wiki/Krull_intersection_theor… | 544 | 1 | 3 | 5 | 1 | 1 | 1 | 1 | 6 | 2 | 1 | 3 | 2 | 2 | 1 | 1 | 1 | 5 | 1 | 2 | 1 | 2 | 1 | 2 | 7 | 1 | 2 | 2 | 1 | 1 | 1 | 6 | 3 | 3 | 7 | 4 | 0 | 4 | 3 | 5 | 4 | 3 | 4 | 1 | 3 | 9 | 4 | 7 | 1 | 2 | 1 | 7 | 2 | 1 | 1 | 3 | 7 | 5 | 6 | 5 | 5 | 5 | 7 | 15 | 4 | 2 | 2 | 5 | 5 | 4 | 12 | 8 | 8 | 6 | 4 | 13 | 4 | 1 | 3 | 3 | 2 | 6 | 7 | 0 | 2 | 3 | 1 | 4 | 6 | 2 | 1 | 4 | 1 | 8 | 9 | 15 | 13 | 21 | 16 | 20 | 11 | 7 | 11 | 6 | 4 | 4 | 11 | 6 | 5 | 6 | 2 | 3 | 6 | 4 | 1 | 3 | 3 | 0 | 0 | 0 | 1 | 0 | 2 | 5 | 0 | 0 | 0 | 3 | 6 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 |
/wiki/Prime_element | 530 | 1 | 10 | 15 | 14 | 15 | 9 | 10 | 32 | 76 | 63 | 71 | 70 | 27 | 4 | 6 | 4 | 4 | 1 | 0 | 1 | 3 | 1 | 4 | 0 | 3 | 4 | 3 | 3 | 2 | 0 | 0 | 1 | 2 | 2 | 1 | 12 | 3 | 4 | 5 | 2 | 0 | 2 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 3 | 0 | 1 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 2 | 0 | 1 | 2 | 0 | 0 | 0 | 1 | 2 | 3 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Hilbert_syzygy_theorem | 510 | 4 | 6 | 6 | 5 | 6 | 3 | 10 | 6 | 0 | 5 | 4 | 8 | 3 | 3 | 4 | 1 | 2 | 2 | 10 | 10 | 7 | 14 | 13 | 4 | 5 | 4 | 10 | 5 | 0 | 1 | 7 | 0 | 10 | 7 | 3 | 3 | 9 | 7 | 11 | 7 | 12 | 7 | 3 | 6 | 6 | 4 | 3 | 0 | 0 | 2 | 4 | 5 | 7 | 2 | 4 | 4 | 19 | 11 | 7 | 11 | 6 | 3 | 6 | 3 | 3 | 1 | 4 | 3 | 2 | 8 | 13 | 5 | 16 | 7 | 3 | 4 | 4 | 2 | 2 | 1 | 3 | 9 | 5 | 4 | 5 | 1 | 4 | 2 | 4 | 1 | 3 | 1 | 3 | 3 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 2 | 1 | 4 | 0 | 1 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 |
/wiki/Integrally_closed_subrin… | 506 | 3 | 7 | 7 | 15 | 6 | 2 | 3 | 0 | 9 | 16 | 11 | 9 | 11 | 10 | 13 | 10 | 4 | 0 | 7 | 4 | 6 | 6 | 9 | 3 | 10 | 7 | 3 | 8 | 2 | 3 | 3 | 3 | 3 | 6 | 0 | 8 | 6 | 2 | 9 | 1 | 0 | 8 | 3 | 3 | 2 | 12 | 0 | 5 | 7 | 11 | 3 | 3 | 2 | 2 | 7 | 0 | 4 | 5 | 7 | 2 | 1 | 7 | 2 | 4 | 2 | 0 | 1 | 6 | 1 | 3 | 4 | 2 | 1 | 1 | 4 | 3 | 3 | 2 | 2 | 4 | 1 | 0 | 0 | 6 | 1 | 2 | 2 | 5 | 4 | 5 | 1 | 2 | 6 | 0 | 6 | 2 | 6 | 2 | 7 | 10 | 2 | 1 | 2 | 3 | 3 | 3 | 7 | 7 | 4 | 3 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 4 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Spectrum_of_Noetherian_r… | 486 | 3 | 8 | 10 | 4 | 2 | 7 | 5 | 11 | 6 | 6 | 14 | 7 | 8 | 6 | 8 | 8 | 2 | 0 | 2 | 10 | 9 | 6 | 13 | 8 | 3 | 4 | 21 | 13 | 5 | 8 | 7 | 8 | 6 | 2 | 3 | 8 | 2 | 1 | 3 | 8 | 2 | 12 | 3 | 3 | 6 | 9 | 2 | 3 | 2 | 2 | 5 | 11 | 3 | 0 | 4 | 4 | 3 | 5 | 5 | 4 | 2 | 5 | 3 | 6 | 2 | 3 | 1 | 0 | 1 | 0 | 2 | 3 | 0 | 2 | 10 | 6 | 0 | 1 | 1 | 1 | 5 | 5 | 0 | 2 | 0 | 0 | 1 | 3 | 4 | 0 | 6 | 3 | 2 | 8 | 2 | 6 | 1 | 3 | 9 | 7 | 0 | 0 | 4 | 3 | 2 | 0 | 0 | 2 | 1 | 1 | 1 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/UFD_implies_gcd | 486 | 1 | 22 | 5 | 6 | 7 | 7 | 2 | 3 | 3 | 8 | 4 | 9 | 12 | 6 | 12 | 3 | 5 | 8 | 12 | 11 | 15 | 14 | 9 | 21 | 9 | 18 | 9 | 6 | 3 | 2 | 0 | 4 | 2 | 10 | 4 | 8 | 5 | 2 | 9 | 1 | 0 | 4 | 1 | 4 | 2 | 6 | 4 | 0 | 2 | 1 | 3 | 7 | 1 | 2 | 1 | 0 | 6 | 2 | 7 | 1 | 2 | 5 | 3 | 1 | 0 | 2 | 1 | 3 | 1 | 0 | 1 | 3 | 3 | 2 | 2 | 0 | 2 | 1 | 0 | 2 | 3 | 2 | 2 | 10 | 3 | 3 | 4 | 1 | 2 | 3 | 1 | 3 | 6 | 5 | 6 | 2 | 3 | 3 | 2 | 2 | 6 | 0 | 3 | 2 | 3 | 4 | 4 | 1 | 2 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Steinitz_theorem | 482 | 1 | 9 | 10 | 12 | 25 | 2 | 2 | 1 | 9 | 5 | 7 | 2 | 4 | 10 | 6 | 2 | 10 | 10 | 3 | 6 | 13 | 9 | 13 | 17 | 6 | 6 | 11 | 10 | 5 | 6 | 8 | 5 | 5 | 13 | 1 | 4 | 2 | 10 | 12 | 6 | 3 | 8 | 1 | 7 | 5 | 8 | 3 | 3 | 2 | 6 | 5 | 4 | 3 | 1 | 4 | 7 | 1 | 4 | 1 | 5 | 17 | 13 | 3 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 0 | 5 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 4 | 0 | 0 | 3 | 2 | 2 | 1 | 1 | 0 | 2 | 2 | 1 | 1 | 3 | 3 | 0 | 0 | 1 | 1 | 2 | 0 | 1 | 0 | 3 | 2 | 1 | 0 | 3 | 1 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Category:Indispensable_l… | 475 | 6 | 4 | 5 | 1 | 8 | 7 | 11 | 5 | 10 | 4 | 5 | 5 | 0 | 0 | 7 | 0 | 5 | 4 | 5 | 0 | 5 | 6 | 8 | 1 | 1 | 4 | 1 | 3 | 1 | 0 | 1 | 0 | 2 | 7 | 0 | 0 | 2 | 1 | 2 | 1 | 0 | 2 | 0 | 3 | 1 | 1 | 5 | 1 | 1 | 0 | 1 | 6 | 2 | 0 | 0 | 1 | 1 | 2 | 4 | 1 | 1 | 2 | 9 | 0 | 5 | 5 | 4 | 9 | 1 | 9 | 12 | 15 | 3 | 4 | 6 | 6 | 1 | 4 | 16 | 7 | 3 | 6 | 9 | 4 | 1 | 6 | 8 | 6 | 1 | 0 | 7 | 0 | 3 | 1 | 3 | 10 | 5 | 2 | 1 | 6 | 3 | 9 | 3 | 4 | 0 | 3 | 2 | 2 | 0 | 2 | 0 | 3 | 0 | 3 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 1 | 1 | 6 | 14 | 0 | 0 | 5 | 1 | 0 | 0 | 6 | 0 | 1 | 5 | 9 | 2 | 2 | 4 | 1 | 4 | 0 | 0 |
/wiki/Unique_factorization_dom… | 473 | 3 | 5 | 6 | 6 | 6 | 4 | 4 | 7 | 12 | 10 | 14 | 38 | 3 | 7 | 4 | 6 | 16 | 2 | 0 | 1 | 7 | 8 | 14 | 10 | 1 | 3 | 0 | 15 | 3 | 1 | 0 | 3 | 1 | 7 | 0 | 1 | 3 | 2 | 7 | 2 | 4 | 0 | 6 | 3 | 0 | 0 | 1 | 0 | 0 | 0 | 5 | 0 | 2 | 0 | 1 | 0 | 4 | 6 | 7 | 8 | 4 | 3 | 3 | 10 | 1 | 4 | 0 | 1 | 4 | 2 | 1 | 3 | 1 | 5 | 1 | 1 | 0 | 1 | 4 | 0 | 0 | 2 | 21 | 12 | 0 | 3 | 1 | 3 | 0 | 4 | 1 | 4 | 5 | 2 | 33 | 4 | 4 | 1 | 3 | 1 | 2 | 0 | 1 | 1 | 0 | 0 | 18 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Jacobson_radical | 473 | 2 | 13 | 15 | 3 | 9 | 3 | 13 | 4 | 10 | 4 | 8 | 13 | 21 | 8 | 11 | 8 | 5 | 6 | 7 | 7 | 21 | 5 | 7 | 2 | 4 | 9 | 13 | 7 | 0 | 0 | 2 | 3 | 3 | 7 | 4 | 6 | 3 | 2 | 7 | 0 | 0 | 1 | 3 | 0 | 4 | 1 | 2 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 4 | 1 | 0 | 1 | 0 | 1 | 2 | 0 | 1 | 0 | 0 | 1 | 3 | 2 | 2 | 1 | 1 | 0 | 4 | 1 | 2 | 0 | 1 | 1 | 2 | 3 | 4 | 2 | 4 | 1 | 6 | 1 | 0 | 2 | 2 | 1 | 4 | 4 | 17 | 1 | 6 | 10 | 3 | 1 | 6 | 1 | 7 | 1 | 6 | 2 | 2 | 2 | 4 | 1 | 1 | 3 | 0 | 1 | 0 | 0 | 3 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 1 | 6 | 12 | 9 | 4 | 3 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Every_Euclidean_ring_has… | 466 | 3 | 9 | 12 | 10 | 13 | 2 | 7 | 2 | 22 | 3 | 8 | 28 | 2 | 13 | 11 | 1 | 11 | 11 | 2 | 8 | 53 | 19 | 4 | 2 | 8 | 14 | 5 | 36 | 5 | 1 | 4 | 7 | 4 | 2 | 4 | 2 | 1 | 9 | 5 | 0 | 1 | 1 | 2 | 1 | 7 | 0 | 3 | 4 | 1 | 2 | 3 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 3 | 0 | 6 | 2 | 1 | 0 | 1 | 2 | 3 | 6 | 0 | 2 | 5 | 4 | 0 | 0 | 1 | 0 | 2 | 1 | 1 | 3 | 0 | 1 | 2 | 7 | 1 | 1 | 0 | 2 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 |
/wiki/One-dimensional_domain | 462 | 4 | 20 | 7 | 7 | 4 | 7 | 2 | 6 | 5 | 7 | 5 | 6 | 8 | 13 | 13 | 21 | 20 | 4 | 11 | 3 | 7 | 15 | 7 | 9 | 6 | 5 | 10 | 7 | 2 | 4 | 4 | 3 | 11 | 9 | 4 | 15 | 5 | 8 | 8 | 5 | 4 | 2 | 2 | 4 | 8 | 6 | 5 | 8 | 7 | 3 | 6 | 8 | 2 | 2 | 4 | 2 | 2 | 0 | 3 | 3 | 6 | 1 | 0 | 3 | 0 | 0 | 0 | 3 | 0 | 1 | 1 | 2 | 4 | 2 | 2 | 3 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 2 | 0 | 1 | 2 | 0 | 0 | 2 | 6 | 2 | 1 | 0 | 0 | 1 | 1 | 0 | 2 | 1 | 0 | 0 | 0 | 1 | 0 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Maximal_ideal | 456 | 3 | 10 | 15 | 21 | 9 | 4 | 4 | 12 | 13 | 18 | 25 | 13 | 9 | 14 | 5 | 2 | 6 | 4 | 6 | 9 | 3 | 5 | 4 | 2 | 4 | 3 | 9 | 4 | 5 | 2 | 2 | 5 | 5 | 4 | 7 | 0 | 6 | 1 | 6 | 4 | 3 | 3 | 4 | 3 | 3 | 0 | 0 | 0 | 1 | 4 | 3 | 1 | 6 | 2 | 0 | 0 | 2 | 0 | 4 | 1 | 0 | 2 | 2 | 1 | 0 | 2 | 0 | 1 | 3 | 0 | 1 | 2 | 2 | 2 | 3 | 1 | 0 | 1 | 3 | 0 | 1 | 2 | 1 | 1 | 2 | 3 | 2 | 6 | 5 | 0 | 0 | 3 | 4 | 4 | 1 | 3 | 4 | 8 | 5 | 7 | 6 | 2 | 4 | 3 | 3 | 1 | 1 | 3 | 3 | 3 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 0 | 0 | 1 | 0 | 3 | 3 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
/wiki/Graded_Nakayama's_lemma | 451 | 1 | 6 | 7 | 4 | 2 | 5 | 6 | 12 | 4 | 8 | 7 | 9 | 0 | 3 | 2 | 1 | 13 | 3 | 4 | 4 | 9 | 3 | 14 | 3 | 5 | 5 | 4 | 1 | 3 | 2 | 3 | 2 | 4 | 5 | 3 | 2 | 6 | 1 | 6 | 4 | 4 | 6 | 1 | 1 | 4 | 6 | 8 | 2 | 1 | 4 | 1 | 7 | 2 | 1 | 0 | 3 | 3 | 8 | 5 | 5 | 6 | 2 | 9 | 1 | 4 | 2 | 2 | 5 | 1 | 5 | 1 | 27 | 0 | 4 | 3 | 1 | 1 | 1 | 5 | 2 | 1 | 6 | 2 | 2 | 5 | 3 | 2 | 6 | 2 | 1 | 0 | 7 | 4 | 1 | 5 | 6 | 6 | 1 | 3 | 6 | 1 | 6 | 3 | 1 | 4 | 1 | 1 | 2 | 4 | 1 | 0 | 1 | 0 | 3 | 1 | 0 | 1 | 3 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Irreducible_implies_prim… | 425 | 7 | 10 | 13 | 11 | 1 | 7 | 1 | 4 | 11 | 11 | 11 | 24 | 7 | 6 | 11 | 11 | 6 | 11 | 13 | 7 | 15 | 12 | 6 | 5 | 17 | 7 | 6 | 3 | 14 | 4 | 3 | 6 | 19 | 11 | 23 | 0 | 5 | 2 | 4 | 0 | 1 | 0 | 1 | 6 | 4 | 1 | 0 | 5 | 0 | 3 | 5 | 2 | 0 | 0 | 0 | 0 | 1 | 3 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 2 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 4 | 2 | 1 | 4 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 2 | 3 | 1 | 0 | 1 | 0 | 4 | 2 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Catenary_ring | 415 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 1 | 7 | 3 | 1 | 7 | 4 | 2 | 8 | 3 | 2 | 4 | 5 | 4 | 7 | 8 | 1 | 6 | 7 | 3 | 9 | 7 | 6 | 3 | 2 | 4 | 6 | 3 | 5 | 8 | 0 | 1 | 3 | 6 | 9 | 1 | 2 | 8 | 3 | 2 | 7 | 1 | 8 | 11 | 6 | 4 | 1 | 4 | 1 | 6 | 0 | 4 | 5 | 6 | 5 | 2 | 12 | 5 | 3 | 4 | 4 | 7 | 3 | 14 | 3 | 6 | 3 | 7 | 6 | 5 | 5 | 3 | 0 | 6 | 2 | 3 | 7 | 3 | 2 | 6 | 2 | 6 | 7 | 4 | 0 | 0 | 3 | 1 | 0 | 2 | 3 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Euclidean_norm | 412 | 1 | 2 | 4 | 5 | 3 | 4 | 2 | 5 | 9 | 5 | 7 | 8 | 5 | 9 | 7 | 5 | 6 | 1 | 3 | 5 | 5 | 9 | 8 | 5 | 4 | 3 | 3 | 3 | 3 | 2 | 0 | 4 | 2 | 8 | 6 | 5 | 2 | 7 | 8 | 6 | 2 | 5 | 1 | 2 | 6 | 2 | 3 | 2 | 2 | 6 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 5 | 5 | 4 | 6 | 4 | 4 | 1 | 2 | 0 | 0 | 1 | 5 | 2 | 5 | 1 | 2 | 3 | 5 | 2 | 1 | 0 | 0 | 2 | 1 | 3 | 6 | 2 | 3 | 2 | 2 | 11 | 0 | 1 | 4 | 0 | 5 | 0 | 7 | 7 | 3 | 3 | 6 | 7 | 2 | 1 | 1 | 6 | 0 | 6 | 2 | 10 | 3 | 2 | 2 | 3 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 3 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Ring_of_continuous_real-… | 406 | 0 | 0 | 7 | 1 | 3 | 3 | 5 | 1 | 3 | 4 | 7 | 7 | 6 | 4 | 11 | 16 | 10 | 7 | 1 | 0 | 9 | 8 | 2 | 2 | 8 | 2 | 5 | 5 | 6 | 7 | 3 | 2 | 6 | 8 | 1 | 1 | 4 | 5 | 2 | 5 | 8 | 2 | 2 | 4 | 3 | 4 | 4 | 11 | 3 | 3 | 4 | 12 | 3 | 8 | 0 | 1 | 4 | 3 | 2 | 1 | 2 | 5 | 6 | 2 | 4 | 1 | 0 | 0 | 3 | 6 | 2 | 4 | 2 | 1 | 6 | 2 | 2 | 0 | 0 | 3 | 0 | 5 | 1 | 4 | 1 | 2 | 3 | 1 | 1 | 4 | 7 | 2 | 0 | 4 | 8 | 3 | 10 | 3 | 2 | 6 | 2 | 2 | 0 | 3 | 4 | 2 | 3 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Category:Terminology | 397 | 2 | 3 | 0 | 0 | 4 | 5 | 2 | 0 | 7 | 3 | 0 | 2 | 4 | 1 | 1 | 1 | 2 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 5 | 2 | 0 | 2 | 2 | 1 | 2 | 0 | 0 | 3 | 2 | 0 | 2 | 1 | 0 | 2 | 5 | 1 | 3 | 4 | 0 | 1 | 4 | 3 | 2 | 4 | 5 | 0 | 1 | 1 | 2 | 10 | 4 | 0 | 0 | 0 | 3 | 4 | 1 | 0 | 2 | 1 | 4 | 2 | 4 | 4 | 4 | 3 | 1 | 2 | 8 | 1 | 5 | 1 | 0 | 1 | 2 | 5 | 1 | 6 | 5 | 5 | 7 | 9 | 3 | 4 | 4 | 6 | 1 | 7 | 8 | 3 | 12 | 6 | 5 | 1 | 7 | 3 | 4 | 7 | 6 | 3 | 5 | 2 | 4 | 0 | 1 | 1 | 0 | 0 | 5 | 1 | 3 | 2 | 7 | 1 | 1 | 4 | 1 | 4 | 1 | 1 | 4 | 5 | 4 | 1 | 6 | 1 | 3 | 2 | 4 | 3 | 0 | 1 | 2 | 5 | 1 | 6 | 5 | 0 | 4 | 0 | 0 |
/wiki/Regular_local_ring | 396 | 4 | 12 | 7 | 9 | 1 | 3 | 7 | 8 | 12 | 14 | 23 | 20 | 7 | 10 | 13 | 5 | 4 | 7 | 3 | 3 | 7 | 5 | 4 | 7 | 4 | 6 | 7 | 6 | 1 | 0 | 1 | 4 | 7 | 6 | 4 | 6 | 11 | 2 | 4 | 1 | 1 | 1 | 4 | 0 | 0 | 1 | 3 | 8 | 3 | 7 | 1 | 1 | 0 | 2 | 0 | 1 | 0 | 1 | 2 | 1 | 0 | 2 | 5 | 0 | 2 | 0 | 0 | 2 | 3 | 1 | 1 | 0 | 8 | 1 | 1 | 4 | 0 | 0 | 0 | 2 | 0 | 3 | 1 | 3 | 2 | 3 | 3 | 1 | 5 | 1 | 3 | 2 | 2 | 1 | 2 | 2 | 6 | 5 | 1 | 1 | 4 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Dedekind_domain | 395 | 3 | 14 | 10 | 4 | 3 | 1 | 7 | 6 | 9 | 4 | 3 | 6 | 5 | 10 | 9 | 5 | 0 | 3 | 4 | 4 | 9 | 2 | 3 | 5 | 0 | 5 | 3 | 3 | 1 | 1 | 5 | 5 | 26 | 4 | 4 | 9 | 3 | 2 | 6 | 2 | 2 | 4 | 0 | 5 | 0 | 4 | 1 | 2 | 1 | 3 | 2 | 0 | 1 | 2 | 2 | 1 | 3 | 3 | 4 | 1 | 2 | 6 | 6 | 3 | 4 | 1 | 2 | 2 | 2 | 0 | 1 | 4 | 11 | 1 | 2 | 2 | 1 | 1 | 1 | 2 | 3 | 3 | 1 | 7 | 1 | 6 | 4 | 2 | 2 | 1 | 0 | 3 | 2 | 4 | 2 | 3 | 3 | 4 | 4 | 1 | 1 | 1 | 0 | 4 | 3 | 2 | 4 | 0 | 1 | 0 | 1 | 3 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 2 | 1 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Ring_of_rational_integer… | 394 | 1 | 6 | 12 | 9 | 2 | 4 | 8 | 5 | 4 | 5 | 7 | 7 | 8 | 11 | 12 | 6 | 8 | 8 | 11 | 7 | 10 | 6 | 7 | 9 | 5 | 5 | 1 | 5 | 8 | 1 | 16 | 3 | 8 | 2 | 6 | 7 | 4 | 5 | 21 | 34 | 8 | 4 | 2 | 5 | 2 | 2 | 11 | 0 | 4 | 1 | 2 | 0 | 4 | 1 | 0 | 5 | 2 | 1 | 0 | 1 | 2 | 2 | 1 | 6 | 1 | 0 | 1 | 1 | 2 | 3 | 0 | 0 | 2 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Hilbert-Samuel_polynomia… | 387 | 0 | 1 | 10 | 6 | 5 | 2 | 8 | 6 | 4 | 12 | 11 | 12 | 3 | 11 | 9 | 4 | 3 | 5 | 4 | 12 | 7 | 11 | 12 | 2 | 6 | 3 | 2 | 11 | 1 | 3 | 1 | 7 | 5 | 8 | 7 | 6 | 4 | 6 | 8 | 10 | 0 | 5 | 4 | 2 | 3 | 4 | 1 | 4 | 1 | 4 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 6 | 7 | 6 | 4 | 3 | 2 | 1 | 4 | 3 | 1 | 0 | 1 | 3 | 1 | 0 | 1 | 1 | 2 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 3 | 0 | 0 | 1 | 1 | 3 | 0 | 5 | 4 | 6 | 2 | 7 | 1 | 3 | 2 | 1 | 0 | 0 | 1 | 0 | 0 | 5 | 1 | 5 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Cohen-Macaulay_ideal | 387 | 1 | 2 | 8 | 3 | 10 | 8 | 6 | 5 | 6 | 5 | 7 | 3 | 5 | 3 | 8 | 6 | 3 | 4 | 4 | 5 | 11 | 9 | 5 | 4 | 0 | 7 | 5 | 4 | 3 | 7 | 2 | 3 | 5 | 4 | 1 | 7 | 5 | 5 | 8 | 9 | 3 | 2 | 3 | 4 | 5 | 3 | 6 | 2 | 3 | 6 | 3 | 3 | 3 | 7 | 2 | 2 | 4 | 2 | 0 | 2 | 2 | 5 | 3 | 1 | 3 | 2 | 5 | 12 | 7 | 4 | 7 | 2 | 1 | 1 | 1 | 3 | 1 | 2 | 5 | 3 | 4 | 2 | 1 | 3 | 1 | 1 | 0 | 1 | 2 | 8 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Dedekind_not_implies_PID… | 385 | 1 | 9 | 3 | 5 | 3 | 1 | 3 | 5 | 5 | 4 | 5 | 5 | 6 | 10 | 7 | 11 | 4 | 5 | 5 | 1 | 6 | 6 | 7 | 2 | 5 | 7 | 5 | 6 | 5 | 5 | 3 | 3 | 11 | 16 | 8 | 4 | 2 | 7 | 4 | 9 | 6 | 3 | 2 | 11 | 4 | 8 | 4 | 4 | 5 | 4 | 1 | 2 | 1 | 5 | 2 | 2 | 3 | 1 | 7 | 1 | 7 | 4 | 0 | 1 | 3 | 3 | 4 | 2 | 3 | 2 | 3 | 3 | 0 | 5 | 4 | 1 | 0 | 2 | 5 | 2 | 3 | 2 | 1 | 2 | 0 | 2 | 0 | 4 | 2 | 1 | 0 | 1 | 2 | 0 | 0 | 8 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Category:Basic_definitio… | 382 | 1 | 5 | 1 | 2 | 6 | 3 | 3 | 4 | 10 | 6 | 1 | 4 | 8 | 1 | 5 | 5 | 3 | 0 | 2 | 1 | 3 | 1 | 2 | 2 | 1 | 5 | 0 | 4 | 0 | 1 | 0 | 0 | 2 | 2 | 2 | 1 | 0 | 2 | 2 | 2 | 1 | 3 | 3 | 1 | 4 | 1 | 2 | 3 | 2 | 2 | 1 | 4 | 52 | 0 | 0 | 0 | 5 | 3 | 10 | 0 | 0 | 0 | 1 | 5 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 3 | 2 | 1 | 3 | 0 | 6 | 1 | 2 | 0 | 1 | 2 | 2 | 3 | 1 | 3 | 1 | 3 | 7 | 7 | 2 | 7 | 1 | 2 | 2 | 4 | 8 | 3 | 4 | 2 | 1 | 1 | 4 | 1 | 2 | 3 | 4 | 2 | 4 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 6 | 1 | 0 | 0 | 3 | 0 | 1 | 2 | 0 | 1 | 1 | 1 | 4 | 4 | 5 | 1 | 4 | 1 | 3 | 5 | 0 | 1 | 0 | 1 | 2 | 4 | 1 | 2 | 4 | 0 | 4 | 0 | 0 |
/wiki/Ring_of_trigonometric_po… | 373 | 6 | 10 | 8 | 9 | 3 | 1 | 4 | 3 | 5 | 3 | 1 | 1 | 1 | 1 | 19 | 3 | 14 | 2 | 2 | 3 | 8 | 13 | 4 | 5 | 6 | 5 | 4 | 4 | 1 | 3 | 5 | 0 | 2 | 1 | 5 | 3 | 4 | 2 | 6 | 3 | 13 | 1 | 2 | 3 | 1 | 6 | 1 | 3 | 0 | 2 | 9 | 10 | 3 | 0 | 1 | 2 | 0 | 3 | 1 | 1 | 2 | 0 | 1 | 7 | 14 | 0 | 1 | 1 | 0 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 3 | 3 | 2 | 1 | 4 | 8 | 5 | 1 | 1 | 6 | 6 | 2 | 0 | 2 | 3 | 4 | 10 | 3 | 3 | 1 | 0 | 0 | 1 | 7 | 5 | 1 | 4 | 4 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Gcd_domain | 373 | 1 | 10 | 13 | 17 | 12 | 8 | 14 | 8 | 4 | 10 | 5 | 4 | 9 | 16 | 12 | 8 | 14 | 3 | 2 | 3 | 11 | 4 | 5 | 7 | 6 | 10 | 4 | 3 | 0 | 2 | 6 | 3 | 2 | 8 | 4 | 7 | 2 | 4 | 4 | 2 | 2 | 3 | 1 | 2 | 3 | 8 | 2 | 2 | 0 | 2 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 3 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 4 | 6 | 0 | 2 | 0 | 1 | 0 | 1 | 0 | 0 | 2 | 1 | 1 | 3 | 2 | 2 | 2 | 1 | 3 | 0 | 0 | 3 | 3 | 1 | 6 | 1 | 3 | 1 | 0 | 0 | 2 | 1 | 1 | 7 | 0 | 1 | 1 | 0 | 0 | 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Nakayama's_lemma | 365 | 6 | 7 | 4 | 4 | 6 | 8 | 3 | 5 | 7 | 5 | 5 | 1 | 4 | 5 | 3 | 2 | 5 | 0 | 0 | 5 | 6 | 1 | 5 | 3 | 6 | 1 | 4 | 1 | 2 | 2 | 2 | 3 | 4 | 10 | 1 | 6 | 7 | 2 | 6 | 0 | 2 | 1 | 1 | 1 | 4 | 4 | 4 | 2 | 0 | 4 | 0 | 4 | 2 | 0 | 0 | 3 | 2 | 3 | 2 | 1 | 0 | 3 | 3 | 1 | 3 | 0 | 2 | 1 | 5 | 7 | 3 | 5 | 2 | 2 | 1 | 2 | 1 | 3 | 14 | 0 | 1 | 2 | 5 | 1 | 1 | 5 | 5 | 3 | 0 | 2 | 4 | 1 | 5 | 2 | 1 | 9 | 6 | 2 | 6 | 6 | 4 | 2 | 8 | 1 | 0 | 2 | 2 | 4 | 2 | 1 | 2 | 2 | 1 | 1 | 0 | 0 | 1 | 2 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
Total of shown rows | 132,182 | 840 | 2,529 | 2,702 | 2,464 | 2,253 | 1,345 | 1,659 | 2,167 | 2,826 | 2,814 | 2,546 | 2,578 | 2,264 | 2,105 | 2,694 | 2,310 | 1,772 | 1,198 | 1,262 | 1,354 | 1,976 | 2,032 | 1,989 | 1,606 | 1,449 | 1,541 | 1,899 | 1,833 | 1,244 | 966 | 1,169 | 1,407 | 1,647 | 1,610 | 1,496 | 1,685 | 1,514 | 1,186 | 1,732 | 1,325 | 1,016 | 851 | 829 | 912 | 1,320 | 979 | 1,034 | 1,169 | 884 | 879 | 1,188 | 837 | 730 | 431 | 470 | 814 | 943 | 1,062 | 1,124 | 917 | 646 | 763 | 944 | 819 | 588 | 402 | 427 | 712 | 1,001 | 1,114 | 1,166 | 880 | 761 | 761 | 937 | 894 | 637 | 468 | 458 | 516 | 722 | 778 | 787 | 780 | 689 | 823 | 1,054 | 1,154 | 738 | 572 | 541 | 681 | 973 | 1,007 | 1,040 | 906 | 1,039 | 814 | 1,103 | 934 | 604 | 358 | 405 | 458 | 459 | 496 | 455 | 517 | 439 | 298 | 312 | 310 | 230 | 170 | 34 | 132 | 124 | 71 | 59 | 85 | 83 | 64 | 128 | 103 | 79 | 152 | 145 | 207 | 304 | 297 | 209 | 79 | 65 | 77 | 94 | 62 | 66 | 48 | 35 | 42 | 48 | 92 | 82 | 58 | 62 | 16 | 53 | 9 | 1 |
Total | 170,577 | 1,047 | 3,056 | 3,270 | 2,998 | 2,702 | 1,675 | 2,032 | 2,621 | 3,481 | 3,367 | 3,125 | 3,189 | 2,786 | 2,662 | 3,314 | 2,793 | 2,203 | 1,522 | 1,566 | 1,698 | 2,358 | 2,514 | 2,503 | 2,047 | 1,749 | 1,909 | 2,317 | 2,115 | 1,484 | 1,182 | 1,487 | 1,792 | 2,036 | 1,962 | 1,817 | 2,253 | 1,883 | 1,472 | 2,205 | 1,667 | 1,282 | 1,075 | 1,060 | 1,193 | 1,631 | 1,234 | 1,359 | 1,464 | 1,062 | 1,240 | 1,673 | 1,030 | 1,021 | 664 | 595 | 990 | 1,168 | 1,418 | 1,367 | 1,141 | 980 | 1,052 | 1,260 | 1,109 | 737 | 504 | 565 | 969 | 1,202 | 1,338 | 1,448 | 1,107 | 1,018 | 970 | 1,236 | 1,281 | 781 | 600 | 634 | 699 | 958 | 1,048 | 1,065 | 970 | 939 | 1,122 | 1,362 | 1,579 | 1,036 | 797 | 764 | 979 | 1,342 | 1,384 | 1,481 | 1,212 | 1,481 | 1,198 | 1,559 | 1,269 | 855 | 556 | 608 | 649 | 746 | 793 | 678 | 792 | 733 | 507 | 473 | 494 | 354 | 236 | 52 | 155 | 181 | 121 | 98 | 120 | 145 | 106 | 190 | 148 | 118 | 199 | 226 | 338 | 463 | 478 | 325 | 141 | 125 | 163 | 200 | 138 | 99 | 105 | 52 | 66 | 93 | 190 | 178 | 140 | 208 | 50 | 103 | 23 | 5 |