Stanley depth of squarefree Veronese ideals

被引:3
作者
Cimpoeas, Mircea [1 ]
机构
[1] Simiom Stoilow Inst Math, Bucharest 014700, Romania
来源
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2013年 / 21卷 / 03期
关键词
Stanley depth; Stanley conjecture; Monomial ideal;
D O I
10.2478/auom-2013-0043
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We compute the Stanley depth for the quotient ring of a square free Veronese ideal and we give some bounds for the Stanley depth of a square free Veronese ideal. In particular, it follows that both satisfy the Stanley's conjecture.
引用
收藏
页码:67 / 71
页数:5
相关论文
共 6 条
[1]   On a conjecture of R. P. Stanley; part I - Monomial ideals [J].
Apel, J .
JOURNAL OF ALGEBRAIC COMBINATORICS, 2003, 17 (01) :39-56
[2]  
Biro C., 2008, PREPRINT
[3]  
Cimpoeas M, 2008, B MATH SOC SCI MATH, V51, P205
[4]  
Cimpoeas M, 2008, MATEMATICHE, V63, P165
[5]   How to compute the Stanley depth of a monomial ideal [J].
Herzog, Huergen ;
Vladoiu, Marius ;
Zheng, Xinxian .
JOURNAL OF ALGEBRA, 2009, 322 (09) :3151-3169
[6]   Stanley depth of multigraded modules [J].
Popescu, Dorin .
JOURNAL OF ALGEBRA, 2009, 321 (10) :2782-2797