Computing the Stanley depth

DOI10.1016/j.jalgebra.2009.11.025zbMath1201.13004arXiv0907.0912OpenAlexW2963871616MaRDI QIDQ975099

Muhammad Imran Qureshi, Dorin Popescu

Publication date: 8 June 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0912

zbMATH Keywords

monomial idealsStanley depthStanley decompositions

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (8)

Combinatorial reductions for the Stanley depth of \(I\) and \(S/I\) ⋮ Stanley depths of certain Stanley-Reisner rings ⋮ Unnamed Item ⋮ Depth and Stanley depth of the edge ideals of square paths and square cycles ⋮ Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings ⋮ Graph and depth of a monomial squarefree ideal ⋮ Stanley decompositions and polarization ⋮ The Stanley Conjecture on Intersections of Four Monomial Prime Ideals

Cites Work

• Unnamed Item
• Interval partitions and Stanley depth
• Stanley depth of complete intersection monomial ideals and upper-discrete partitions
• Linear Diophantine equations and local cohomology
• On a conjecture of R. P. Stanley. I: Monomial ideals
• Prime filtrations of monomial ideals and polarizations
• Stanley depth of multigraded modules
• Stanley decompositions and partitionable simplicial complexes
• Stanley conjecture in small embedding dimension
• How to compute the Stanley depth of a monomial ideal
• Stanley depth of squarefree monomial ideals
• Some remarks on the Stanley's depth for multigraded modules
• Stanley depth of complete intersection monomial ideals
• An inequality between depth and Stanley depth
• Depth and Stanley Depth of Multigraded Modules

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