How to compute the Stanley depth of a monomial ideal

被引：102

作者：

Herzog, Huergen ^{[1
]}

Vladoiu, Marius ^{[2
]}

Zheng, Xinxian ^{[1
]}

机构：

[1] Univ Duisburg Essen, Fachbereich Math & Informat, D-45117 Essen, Germany

[2] Univ Bucuresti, Fac Matemat & Informat, RO-010014 Bucharest, Romania

来源：

JOURNAL OF ALGEBRA | 2009年 / 322卷 / 09期

关键词：

Stanley depth; Stanley decomposition; Partitions; Prime filtrations; FILTRATIONS; CONJECTURE; MODULES;

D O I：

10.1016/j.jalgebra.2008.01.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let J subset of I be monomial ideals. We show that the Stanley depth of I/J can be computed in a finite number of steps. We also introduce the fdepth of a monomial ideal which is defined in terms of prime filtrations and show that it can also be computed in a finite number of steps. In both cases it is shown that these invariants can be determined by considering partitions of suitable finite posets into intervals. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：3151 / 3169

页数：19

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