Stanley depth of complete intersection monomial ideals and upper-discrete partitions

被引：27

作者：

Shen, Yi Huang ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL OF ALGEBRA | 2009年 / 321卷 / 04期

关键词：

Stanley depth; Partitions; Complete intersection; Squarefree monomial ideal;

D O I：

10.1016/j.jalgebra.2008.11.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let I be an m-generated complete intersection monomial ideal in S=K vertical bar x(1).....x(n)vertical bar.We show thattheStanley depth of 1 is n-[m/2]. We also study the Upper-discrete structure for monomial ideals and prove that if I is a squarefree monomial ideal minimally generated by 3 elements, then the Stanley depth of I is n-1. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1285 / 1292

页数：8

共 37 条

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