Transversal intersection of monomial ideals

被引：2

作者：

Saha, Joydip ^{[1
]}

Sengupta, Indranath ^{[1
]}

Tripathi, Gaurab ^{[2
]}

机构：

[1] Indian Insitute Technol Gandhinagar, Discipline Math, Palaj 382355, Gandhinagar, India

[2] Jadavpur Univ, Dept Math, Kolkata 700032, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2019年 / 129卷 / 05期

关键词：

Monomial ideals; transversal intersection; Grobner basis; Taylor complex; minimal free resolution; simplicial complex;

D O I：

10.1007/s12044-019-0509-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove conditions for transversal intersection of monomial ideals and derive a simplicial characterization of this phenomenon.

引用

页数：10

共 50 条

[1] Transversal intersection of monomial ideals
Joydip Saha
Indranath Sengupta
Gaurab Tripathi
[J]. Proceedings - Mathematical Sciences, 2019, 129
[2] Betti Numbers of Transversal Monomial Ideals
Zaare-Nahandi, Rahim
[J]. ALGEBRA COLLOQUIUM, 2011, 18 : 925 - 936
[3] Transversal intersection and sum of polynomial ideals
Saha, Joydip
Sengupta, Indranath
Tripathi, Gaurab
[J]. JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2023, 38 (01) : 33 - 46
[4] Stanley depth of complete intersection monomial ideals
Cimpoeas, Mircea
[J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2008, 51 (03): : 205 - 211
[5] Stanley Conjecture on intersection of three monomial primary ideals
Zarojanu, Andrei
[J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2012, 55 (03): : 335 - 339
[6] The Stanley conjecture on monomial almost complete intersection ideals
Cimpoeas, Mircea
[J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2012, 55 (01): : 35 - 39
[7] STANLEY DEPTH OF QUOTIENT OF MONOMIAL COMPLETE INTERSECTION IDEALS
Cimpoeas, Mircea
[J]. COMMUNICATIONS IN ALGEBRA, 2014, 42 (10) : 4274 - 4280
[8] Intersection algebras for principal monomial ideals in polynomial rings
Enescu, Florian
Malec, Sara
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (07)
[9] Computing the invariants of intersection algebras of principal monomial ideals
Enescu, Florian
Spiroff, Sandra
[J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019, 29 (02) : 309 - 332
[10] Monomial ideals and the Gorenstein liaison class of a complete intersection
Migliore, J
Nagel, U
[J]. COMPOSITIO MATHEMATICA, 2002, 133 (01) : 25 - 36

← 1 2 3 4 5 →