A Characterization of Sequentially Cohen-Macaulay Matroidal Ideals

被引：1

作者：

Hamaali, Payman Mahmood ^{[1
]}

Mafi, Amir ^{[2
]}

Saremi, Hero ^{[3
]}

机构：

[1] Univ Sulaimani, Coll Sci, Dept Math, Sulaimanyah, Kurdistan, Iraq

[2] Univ Kurdistan, Dept Math, POB 416, Sananda, Iran

[3] Islamic Azad Univ, Dept Math, Sanandaj Branch, Sanandaj, Iran

来源：

ALGEBRA COLLOQUIUM | 2023年 / 30卷 / 02期

关键词：

sequentially Cohen-Macaulay; monomial ideals; matroidal ideals;

D O I：

10.1142/S1005386723000196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R = K[x(1),..., x(n)] be the polynomial ring in n variables over a field K and I be a matroidal ideal of R. We show that I is sequentially Cohen-Macaulay if and only if the Alexander dual I-? has linear quotients. As a consequence, I is sequentially Cohen-Macaulay if and only if I is shellable.

引用

页码：237 / 244

页数：8

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