On the Stanley depth of edge ideals of k-partite clutters

被引:0
|
作者
Dupont, Luis A. [1 ]
Mendoza, Daniel G. [1 ]
机构
[1] Univ Veracruzana, Fac Matemat, Zona Univ, Circuito Gonzalo Aguirre Beltran S-N, Xalapa 91090, Ver, Mexico
关键词
Monomial ideal; Stanley's conjecture; Stanley decompositions; Stanley depth; CONJECTURE;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give upper bounds for the Stanley depth of edge ideals of certain k-partite clutters. In particular, we generalize a result of Ishaq about the Stanley depth of the edge ideal of a complete bipartite graph. A result of Pournaki, Seyed Fakhari and Yassemi implies that the Stanley's conjecture holds for d-uniform complete d-partite clutters. Here we give a shorter and different proof of this fact.
引用
收藏
页码:39 / 49
页数:11
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