Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings

Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings
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DOI:
10.1080/00927872.2011.630708
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发表时间:
2013-03
影响因子:
0.7
通讯作者:
M. Ishaq;M. I. Qureshi
M. Ishaq;M. I. Qureshi
中科院分区:
数学3区
文献类型:
--
作者:
M. Ishaq;M. I. Qureshi

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We give an upper bound for the Stanley depth of the edge ideal of a complete k-partite hypergraph and as an application we give an upper bound for the Stanley depth of a monomial ideal in a polynomial ring S. We also give a lower and an upper bound for the cyclic module S/I associated to the complete k-partite hypergraph.