Graph and depth of a monomial squarefree ideal

DOI10.1090/S0002-9939-2012-11371-1zbMath1281.13008arXiv1104.5596OpenAlexW1979805357MaRDI QIDQ2846736

Dorin Popescu

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5596

zbMATH Keywords

sizedepthmonomial idealsStanley conjectureStanley depthjoin graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of commutative algebra (05E40)

Related Items (3)

Four Generated, Squarefree, Monomial Ideals ⋮ Initially regular sequences and depths of ideals ⋮ Depth of Powers of Squarefree Monomial Ideals (Research)

Cites Work

• Unnamed Item
• Computing the Stanley depth
• Linear Diophantine equations and local cohomology
• On the arithmetical rank of monomial ideals
• Stanley depth of multigraded modules
• How to compute the Stanley depth of a monomial ideal
• The Stanley Conjecture on Intersections of Four Monomial Prime Ideals
• Upper Bounds for the Stanley Depth
• Special Stanley Decompositions
• Stanley depth and size of a monomial ideal
• An inequality between depth and Stanley depth
• Depth and Stanley Depth of Multigraded Modules

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