Ideals with Linear Quotients and Componentwise Polymatroidal Ideals

被引：0
|
作者：
Somayeh Bandari
Ayesha Asloob Qureshi
机构：
[1] Buein Zahra Technical University,Department of Mathematics
[2] Sabanci University,Faculty of Engineering and Natural Sciences
来源：
Mediterranean Journal of Mathematics | 2023年 / 20卷
关键词：
Polymatroidal ideals; componentwise polymatroidal ideals; strong exchange property; linear quotients; 13C13; 05E40;
D O I：
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中图分类号：
学科分类号：
摘要：
If I is a monomial ideal with linear quotients, then it has componentwise linear quotients. However, the converse of this statement is an open question. In this paper, we provide two classes of ideals for which the converse of this statement holds. First class is the componentwise polymatroidal ideals in K[x, y] and the second one is the componentwise polymatroidal ideals with strong exchange property.
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