Ideals with Linear Quotients and Componentwise Polymatroidal Ideals

被引：2

作者：

Bandari, Somayeh ^{[1
]}

Qureshi, Ayesha Asloob ^{[2
]}

机构：

[1] Buein Zahra Tech Univ, Dept Math, Buein Zahra, Qazvin, Iran

[2] Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Tuzla, Ista, Turkiye

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 02期

关键词：

Polymatroidal ideals; componentwise polymatroidal ideals; strong exchange property; linear quotients;

D O I：

10.1007/s00009-023-02264-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：15

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