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.
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页码：237 / 244
页数：8
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