Stanley decompositions and partitionable simplicial complexes

被引：42

作者：

Herzog, Juergen ^{[1
]}

Jahan, Ali Soleyman ^{[1
]}

Yassemi, Siamak ^{[2
,3
]}

机构：

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

[2] Univ Tehran, Dept Math, Tehran, Iran

[3] Inst Theoret Phys & Math, Tehran, Iran

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2008年 / 27卷 / 01期

关键词：

Stanley decompositions; partitionable simplicial complexes; pretty clean modules;

D O I：

10.1007/s10801-007-0076-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Stanley decompositions and show that Stanley's conjecture on Stanley decompositions implies his conjecture on partitionable Cohen-Macaulay simplicial complexes. We also prove these conjectures for all Cohen-Macaulay monomial ideals of codimension 2 and all Gorenstein monomial ideals of codimension 3.

引用

页码：113 / 125

页数：13

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