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
收藏
页码：1285 / 1292
页数：8
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