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 September 2022 August 2022 July 2022 June 2022 May 2022 April 2022 March 2022 February 2022 January 2022 December 2021 November 2021 October 2021 September 2021 August 2021 July 2021 June 2021 May 2021 April 2021 March 2021 February 2021 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 10,952 142 142 97 127 123 155 162 132 150 131 169 166 90 74 85 64 123 144 211 174 152 165 267 232 202 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 8,351 87 33 41 54 87 56 46 47 61 49 71 60 43 23 21 51 86 134 129 119 104 122 130 146 123 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/Power_of_an_ideal 6,956 80 58 77 84 101 103 140 108 77 81 121 91 73 64 52 91 118 134 157 122 103 114 114 102 101 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/Nilradical_equals_inters… 6,275 46 25 26 30 83 28 40 45 48 124 45 23 20 21 21 30 81 147 111 56 61 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/Polynomial_ring_over_a_f… 6,199 64 78 79 109 62 50 59 110 58 49 93 85 33 87 44 102 104 142 134 125 109 109 107 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/Finitely_generated_ideal… 6,145 47 49 38 43 31 67 84 57 51 65 113 80 60 41 74 67 107 122 107 119 105 161 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/Main_Page 6,047 36 42 57 47 49 39 34 67 47 38 57 43 34 24 22 35 34 40 48 41 41 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
/ 5,702 24 19 38 34 74 844 40 39 47 46 41 31 28 22 816 22 15 734 724 12 9 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/Prime_avoidance_lemma 4,421 5 11 16 12 32 29 14 12 30 28 19 24 21 13 8 15 26 40 34 43 55 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 3,759 9 11 24 13 40 32 44 33 46 28 49 23 8 23 13 19 45 46 65 43 50 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… 3,749 35 30 27 20 22 58 36 37 40 34 72 58 33 11 26 36 32 69 44 76 79 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/Multivariate_polynomial_… 3,071 30 32 36 23 23 26 20 21 19 19 28 20 22 20 15 12 40 52 46 69 34 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/Principal_ideal_domain 2,797 2 10 7 46 18 13 2 8 2 4 14 5 7 8 3 8 7 13 18 19 27 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/Irreducible_implies_prim… 2,761 13 26 28 23 33 21 29 23 33 29 44 27 28 22 17 38 56 58 62 56 59 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/Irreducible_element_not_… 2,643 17 21 22 29 21 15 16 27 25 21 18 20 16 8 22 33 51 33 42 49 80 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
/wiki/Proper_ideal 2,563 20 202 13 26 28 39 27 27 33 41 28 23 30 19 10 36 39 66 73 50 48 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/Regular_local_ring_impli… 2,551 17 44 41 31 40 59 19 42 30 26 45 27 25 16 23 48 28 39 42 50 34 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/Euclidean_domain 2,409 1 5 5 5 4 9 7 6 14 12 10 3 3 10 0 8 12 17 26 34 31 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/Commutative_unital_ring 2,286 15 16 18 19 59 42 24 39 39 23 21 28 7 20 9 21 57 32 44 39 41 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/Integral_domain 2,108 16 17 18 21 9 15 18 24 18 14 28 5 10 11 10 17 26 37 27 33 204 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/Minimal_prime_ideal 2,061 23 13 15 24 16 17 21 24 22 21 22 15 7 8 9 20 20 34 36 32 36 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/Universal_side_divisor 2,052 17 28 12 24 13 11 6 13 34 15 23 9 12 38 4 18 17 37 33 12 16 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/Principal_ideal 2,050 10 12 15 15 18 27 14 16 18 11 27 19 14 21 9 23 34 43 45 39 47 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/Multiplicative_norm 2,006 16 13 17 27 45 17 25 21 9 20 12 6 8 6 6 25 17 25 24 20 25 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_… 1,996 26 12 29 23 20 16 22 15 11 22 26 9 3 3 10 8 17 29 31 27 19 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/Codimension_of_an_ideal 1,985 19 28 18 16 22 50 26 19 18 25 28 28 10 15 15 23 15 34 26 26 22 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/Zero-dimensional_ring 1,913 23 15 26 36 39 33 19 38 26 22 28 27 11 13 20 20 22 30 28 16 26 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/Principal_ideal_ring_iff… 1,898 23 9 10 23 25 10 20 9 3 13 19 25 14 17 9 23 49 43 64 41 42 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/Nilradical_is_an_ideal 1,893 30 16 18 17 19 54 40 35 37 37 76 41 15 23 12 14 40 48 54 44 44 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/Noetherian_ring_has_fini… 1,801 21 16 12 16 8 10 21 21 38 23 28 13 10 8 11 36 25 38 49 23 45 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/Noetherian_ring 1,752 10 9 12 12 10 10 2 6 9 7 5 12 6 7 5 7 18 17 16 28 26 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/Equidimensional_ring 1,710 24 14 23 20 21 17 35 37 18 18 16 18 27 17 15 20 16 26 4 10 14 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/Ideal_generated_by_two_p… 1,670 19 6 3 30 16 11 17 8 15 18 25 13 10 5 3 18 31 33 28 14 25 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/Primary_ideal 1,577 12 13 6 11 14 23 15 13 15 10 13 7 2 13 14 3 28 24 39 35 46 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 1,565 12 14 17 16 22 22 14 19 14 19 10 27 13 12 11 16 21 15 37 22 29 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/UFD_not_implies_PID 1,558 4 8 13 7 8 10 7 7 5 4 4 6 9 13 4 4 18 25 14 10 7 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/Normal_ring 1,355 12 12 7 7 7 3 10 10 7 10 10 6 1 5 7 5 11 16 14 12 14 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/Noetherian_domain 1,331 19 22 13 31 22 32 22 14 16 14 15 23 15 16 18 22 27 35 34 32 34 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/Multiplicative_Euclidean… 1,307 5 6 10 9 8 7 3 4 12 13 17 8 7 8 4 15 14 22 12 6 24 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/Noetherian_local_ring 1,289 14 14 19 16 10 9 3 4 2 5 11 2 7 17 7 15 51 52 24 23 33 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/Prime_ideal 1,219 14 13 11 11 7 12 4 9 16 6 3 7 4 7 3 12 17 25 13 20 27 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/Unique_factorization_dom… 1,218 6 7 11 8 18 12 7 10 8 10 7 7 5 8 1 7 7 14 20 20 7 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/Artin-Tate_lemma 1,197 5 7 15 14 13 17 12 13 21 8 11 3 8 5 3 9 10 7 6 11 14 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/Polynomial_ring_over_int… 1,136 14 2 8 0 6 3 2 5 2 2 8 2 3 3 2 4 16 7 18 9 7 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/Cohen-Macaulay_ring 1,115 11 10 21 5 9 4 4 16 6 3 3 6 12 6 6 13 10 6 8 5 21 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… 1,109 2 12 8 6 16 17 6 11 13 20 28 11 4 2 5 8 11 18 16 20 16 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/Element_of_minimum_norm_… 1,041 1 10 1 4 9 7 5 24 17 2 8 8 1 3 2 9 18 14 14 24 14 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/Affine_domain 998 4 17 12 7 6 16 14 7 14 4 8 9 5 3 11 4 9 24 15 19 10 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/Invertible_plus_nilpoten… 972 8 13 8 7 28 12 10 10 14 163 25 4 2 11 3 9 39 21 12 14 15 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/Jacobson_ring 948 8 10 17 9 8 1 7 12 3 4 9 3 12 7 13 4 7 15 9 16 11 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/Affine_ring 923 9 17 18 10 16 18 24 13 12 10 12 15 11 5 9 8 26 25 17 11 11 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/Ring_equals_max-localiza… 914 1 3 4 3 3 4 7 2 11 3 9 5 3 2 1 4 2 5 6 6 7 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 914 3 4 6 4 2 2 3 5 3 3 1 0 2 1 3 9 8 9 23 20 24 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/Primary_ring 909 6 6 11 6 15 12 11 10 19 11 5 7 4 8 6 10 8 5 12 9 15 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/Semisimple_Artinian_ring… 876 0 4 9 3 4 4 11 12 4 3 4 4 1 3 5 7 10 15 16 14 16 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/Dimension_of_an_ideal 869 8 20 7 7 5 6 10 8 13 11 17 5 9 19 2 15 19 25 23 14 19 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/Spectrum_of_a_commutativ… 835 2 2 6 1 2 1 2 4 2 0 1 2 3 2 3 2 2 8 3 8 6 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/Krull's_height_theorem 834 1 3 13 10 6 6 7 8 7 8 3 9 4 7 3 15 18 23 26 16 22 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/Every_proper_ideal_is_co… 830 9 0 3 1 0 6 0 3 5 5 6 5 8 1 1 11 40 20 33 22 17 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/Noetherian_implies_every… 819 14 3 6 7 3 5 5 7 12 6 8 9 4 8 4 5 4 11 16 10 8 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/One-dimensional_ring 805 8 4 12 10 17 9 3 8 10 8 13 9 8 8 4 23 11 11 8 19 10 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/Annihilator_of_Noetheria… 801 0 1 3 1 2 1 2 1 7 12 4 3 2 9 1 1 6 36 5 10 8 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 801 1 4 7 11 9 10 9 8 17 7 11 3 0 2 1 9 5 3 9 6 3 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/Quasilocal_ring 786 5 8 15 0 8 10 6 3 9 8 10 13 10 9 9 7 3 11 32 14 18 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/Dedekind-Hasse_norm_impl… 772 2 10 4 4 5 3 3 5 22 7 12 1 6 2 4 4 12 5 8 24 11 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/Krull_intersection_theor… 768 2 4 4 1 4 0 6 0 7 3 1 1 5 3 4 7 15 25 20 7 16 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/Reduced_Noetherian_impli… 762 5 6 4 13 12 1 2 5 4 1 2 5 3 7 3 20 15 8 8 6 5 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/Reduced_ring 755 6 7 7 4 4 4 8 11 4 8 7 9 6 4 6 6 20 16 13 10 11 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/Total_quotient_ring 747 5 3 5 1 8 2 6 10 5 6 9 3 0 2 1 4 9 16 2 8 6 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/Krull's_principal_ideal_… 726 6 0 6 7 11 9 4 4 3 2 9 4 4 7 5 8 5 4 10 4 12 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/Irreducible_implies_prim… 712 16 11 6 46 19 17 20 17 7 28 16 7 4 3 3 3 8 21 13 13 16 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/One-dimensional_domain 702 8 4 20 11 9 10 9 8 15 5 13 8 9 7 9 39 10 10 12 12 16 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/Unique_factorization_dom… 665 5 1 0 5 1 3 25 24 4 6 7 8 2 2 10 1 5 3 43 35 5 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/Spectrum_of_Noetherian_r… 648 6 3 5 9 3 6 3 6 11 13 12 8 8 1 5 13 16 16 8 8 5 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/Every_Euclidean_ring_has… 646 1 5 5 4 6 2 4 23 3 6 10 2 4 2 0 8 12 13 8 53 12 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/Integrally_closed_subrin… 641 2 8 8 2 11 5 2 4 32 5 6 3 1 4 2 2 12 3 12 8 6 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/Prime_element 623 2 4 3 2 2 1 1 2 1 5 4 3 7 6 1 7 9 11 8 9 6 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/Krull_intersection_theor… 612 6 3 5 3 4 3 4 2 1 1 1 5 1 1 0 2 5 8 8 4 2 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/Spectrum_is_sober 609 4 0 2 1 0 1 0 1 3 0 0 3 3 0 1 8 1 0 1 0 1 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/UFD_implies_gcd 608 3 4 4 4 4 7 5 3 3 4 5 6 2 5 1 6 14 8 20 8 7 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/Hilbert_syzygy_theorem 598 7 1 3 4 5 0 0 3 4 4 7 3 4 3 2 9 6 6 5 9 7 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/Maximal_ideal 594 6 3 9 3 3 5 5 6 7 5 7 2 4 5 4 8 12 8 13 13 13 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/Steinitz_theorem 565 3 5 1 4 6 6 2 4 3 6 8 4 2 1 3 1 6 8 4 5 2 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/Jacobson_radical 559 3 1 3 0 0 1 7 6 1 2 0 1 4 4 0 1 9 10 8 12 15 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/Category:Indispensable_l… 549 1 2 5 1 2 6 8 3 1 6 1 0 8 0 0 5 2 4 5 6 14 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/Ring_of_continuous_real-… 524 8 5 3 2 3 4 4 2 8 4 6 9 3 8 2 9 9 11 6 9 3 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/Graded_Nakayama's_lemma 521 1 2 3 2 1 5 6 1 0 3 1 0 6 2 1 4 5 7 1 15 5 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/Regular_local_ring 516 5 5 11 3 2 7 3 9 3 2 5 7 2 4 6 8 5 12 8 9 8 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 512 4 6 3 9 8 10 0 4 1 2 7 3 2 1 6 8 4 8 13 10 11 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/Euclidean_norm 509 2 4 6 5 4 4 3 5 8 5 7 4 3 6 1 2 6 3 3 11 6 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/Set_of_zero_divisors_on_… 486 10 9 7 10 6 2 9 7 7 3 5 10 6 7 5 4 11 11 9 7 3 6 12 5 5 3 3 7 9 17 4 7 8 3 12 6 5 1 6 0 5 5 7 9 10 7 9 5 4 1 3 1 11 4 6 6 7 4 1 2 7 3 0 3 0 1 0 1 0 0 1 2 0 1 0 0 4 2 1 2 1 3 3 4 0 0 0 0 0 4 2 1 0 1 2 0 1 1 0 1 1 1 3 0 2 2 6 1 3 1 1 3 2 5 3 3 1 3 5 0 0 0 0 3 0 2 1 0 2 0 3 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 0 0 0 0 1 0 0 0 0 0 0 0
/wiki/Ring_of_rational_integer… 482 4 4 4 4 0 2 4 7 12 3 3 4 8 3 0 2 5 2 6 8 4 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/Ring_of_trigonometric_po… 478 5 1 4 2 1 1 8 7 2 5 3 8 0 0 0 1 4 16 24 10 9 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/Cohen-Macaulay_ideal 463 2 1 12 4 4 1 4 4 2 5 4 9 0 2 3 6 1 5 4 1 3 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/Category:Basic_definitio… 463 3 4 9 0 3 4 4 20 3 5 0 2 1 1 0 2 0 12 3 4 2 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/Nakayama's_lemma 459 1 1 10 6 2 5 1 7 2 2 3 2 10 3 3 7 2 7 6 10 10 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
/wiki/Dedekind_not_implies_PID… 457 3 2 6 4 4 0 4 5 3 3 4 2 2 1 1 11 1 5 4 7 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/Catenary_ring 456 3 0 6 2 2 1 0 7 1 4 2 0 1 0 2 2 1 2 2 3 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/PID_implies_UFD 456 20 1 10 4 7 3 10 6 8 7 0 2 1 1 0 5 8 9 6 3 8 10 8 9 12 7 0 13 10 6 9 6 6 6 12 6 7 1 3 4 4 1 4 4 1 5 0 0 1 3 2 0 4 3 4 2 6 1 3 2 0 0 1 1 1 3 0 0 1 0 0 0 3 1 0 0 0 0 0 0 0 1 3 0 1 1 0 0 0 0 0 3 1 2 1 13 2 0 1 0 0 0 3 3 4 1 3 5 6 1 0 4 10 5 5 7 3 1 3 4 4 4 1 4 3 0 2 1 7 1 3 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0 3 0 0 4 0 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0
/wiki/PID_implies_one-dimensio… 447 7 5 12 5 6 11 8 1 5 8 9 7 12 5 5 11 11 14 21 5 25 6 13 14 15 8 7 9 7 5 3 7 7 18 5 5 8 5 11 2 4 3 5 0 0 4 2 1 0 0 2 0 2 4 1 0 4 3 3 7 0 0 0 0 0 0 0 2 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 3 2 2 0 0 0 23 0 0 0 0 0 0 1 1 0 2 0 1 1 0 0 0 0 0 3 0 0 0 0 0 2 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 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Total of shown rows 170,473 1,362 1,466 1,450 1,512 1,686 2,436 1,566 1,685 1,648 1,690 1,911 1,460 1,061 1,054 1,684 1,537 2,160 3,410 3,461 2,504 2,613 2,537 2,712 2,469 2,264 1,348 1,645 2,182 2,837 2,817 2,546 2,580 2,269 2,104 2,701 2,314 1,773 1,196 1,276 1,345 1,971 2,025 1,988 1,609 1,448 1,543 1,899 1,823 1,248 963 1,167 1,397 1,655 1,605 1,496 1,677 1,523 1,184 1,725 1,323 1,021 844 820 911 1,312 967 1,031 1,165 880 871 1,187 835 728 432 469 813 942 1,047 1,114 914 643 765 942 819 584 400 423 711 995 1,116 1,164 878 751 760 935 928 629 468 453 516 723 776 790 778 689 817 1,056 1,154 739 561 536 684 973 1,004 1,043 901 1,027 811 1,095 930 604 359 398 460 452 491 446 513 438 297 312 307 230 169 34 132 119 70 56 83 76 63 127 100 78 148 146 206 304 292 205 82 58 78 88 60 62 45 35 41 45 89 81 52 57 16 49 9 1
Total 218,765 1,744 1,873 2,489 1,931 2,214 2,957 1,914 2,258 2,154 2,092 2,382 1,832 1,296 1,419 1,848 1,880 2,620 4,064 4,012 3,089 3,167 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
h-index n.a. 19 18 19 23 22 22 21 23 22 22 24 21 16 18 15 21 26 30 30 27 27 27 29 26 25 20 22 26 29 30 27 28 26 24 28 24 22 17 17 19 23 24 24 21 21 22 23 23 19 17 18 22 22 22 20 22 21 18 22 18 15 15 14 16 19 17 17 17 15 17 19 16 14 11 10 14 16 19 19 14 15 14 15 16 13 10 10 13 16 16 16 15 15 14 16 17 14 10 11 11 15 15 15 16 15 15 17 19 15 10 12 14 17 16 18 15 17 15 18 17 14 10 9 10 10 11 11 14 11 8 8 8 7 6 4 4 6 5 4 5 5 4 5 5 5 6 6 8 8 8 7 5 4 5 6 4 4 4 2 3 4 6 5 5 5 2 5 2 1