Stanley depth of multigraded modules

被引：32

作者：

Popescu, Dorin ^{[1
]}

机构：

[1] Univ Bucharest, Inst Math Simion Stoilow, Bucharest 014700, Romania

来源：

JOURNAL OF ALGEBRA | 2009年 / 321卷 / 10期

关键词：

Monomial ideals; Prime filtrations; Pretty clean filtrations; Stanley ideals; MONOMIAL IDEALS; FILTRATIONS; DECOMPOSITIONS; CONJECTURE; DIMENSION;

D O I：

10.1016/j.jalgebra.2009.03.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Stanley's Conjecture on Cohen-Macaulay multigraded modules is studied especially in dimension 2. In codimension 2 similar results were obtained by Herzog, Soleyman-Jahan and Yassemi. As a consequence of our results Stanley's Conjecture holds in 5 variables. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2782 / 2797

页数：16

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