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.
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页码：1812 / 1817
页数：6
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