scientific article; zbMATH DE number 7830313

DOI10.4134/bkms.b230066MaRDI QIDQ6204928

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Publication date: 10 April 2024

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zbMATH Keywords

monomial idealdepthStanley conjectureStanley depth

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• Computing the Stanley depth
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• Combinatorial reductions for the Stanley depth of \(I\) and \(S/I\)
• Stanley conjecture in small embedding dimension
• A non-partitionable Cohen-Macaulay simplicial complex
• How to compute the Stanley depth of a monomial ideal
• Depth and Stanley depth of the edge ideals of the strong product of some graphs
• A Survey on Stanley Depth
• Depth and Stanley Depth of Multigraded Modules
• Depth and Stanley depth of the facet ideals of some classes of simplicial complexes
• Depth and Stanley depth of the edge ideals of square paths and square cycles

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