Cohen-Macaulay monomial ideals with given radical

被引：5

作者：

Ahmad, Safyan ^{[1
]}

Naeem, Muhammad ^{[1
]}

机构：

[1] Govt Coll Univ, ASSMS, Lahore, Pakistan

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2010年 / 214卷 / 10期

关键词：

D O I：

10.1016/j.jpaa.2009.12.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the set of Cohen-Macaulay monomial ideals with a given radical. Among this set of ideals are the so-called Cohen-Macaulay modifications. Not all Cohen-Macaulay squarefree monomial ideals admit nontrivial Cohen-Macaulay modifications. It is shown that if there exists one such modification, then there exist indeed infinitely many. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1812 / 1817

页数：6

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