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

JOURNAL OF ALGEBRA

卷:321

Article

Shen, Yi Huang

关键词: Stanley depth;    Partitions;    Complete intersection;    Squarefree monomial ideal;   

DOI  :  10.1016/j.jalgebra.2008.11.010

来源: Elsevier

【 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.

【 授权许可】

Free