On Characteristic Poset and Stanley Decomposition of S/I

DOI10.1142/S1005386715000644zbMath1360.13056MaRDI QIDQ3460281

Sarfraz Ahmad, Imran Anwar

Publication date: 7 January 2016

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

zbMATH Keywords

polarizationposetsmonomial idealsStanley's conjecture

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Cohen-Macaulay modules (13C14)

Cites Work

• Finite filtrations of modules and shellable multicomplexes
• Linear Diophantine equations and local cohomology
• 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 decompositions and polarization

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