Stanley depth of complete intersection monomial ideals

Abstract

We compute the Stanley depth of irreducible monomial ideals and we show that the Stanley depth of a monomial complete intersection ideal is the same as the Stanley depth of it's radical. Also, we give some bounds for the Stanley depth of a monomial complete intersection ideal.

6 pages. to appear in Bull.Math.Soc.Sc.Math.Roumanie 51(99),no.3 (2008)

References in corpus (4)

• Stanley Conjecture in small embedding dimension
• Stanley Decompositions, Pretty Clean Filtrations and Reductions Modulo Regular Elements
• Stanley decompositions and localization
• Sequentially Cohen-Macaulay monomial ideals of embedding dimension four

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• Stanley depth and complete $k$-partite hypergraphs
• Upper bounds for the Stanley depth
• A Variant of the Stanley Depth for Multisets
• Depth and Stanley Depth of the Canonical Form of a factor of monomial ideals
• The behavior of Stanley depth under polarization
• How to compute the Hilbert depth of a graded ideal
• Computing the Stanley depth
• Stanley depth of complete intersection monomial ideals and upper-discrete partitions
• Depth and Stanley depth of multigraded modules
• Hilbert series and Hilbert depth of squarefree Veronese ideals
• Alexander duality and Stanley depth of multigraded modules
• Monomial ideals of minimal depth and trivial modifications
• On the Stanley depth of edge ideals of k-partite clutters