An inequality between depth and Stanley depth

zbMath1177.13055arXiv0905.4597MaRDI QIDQ3645465

Dorin Popescu

Publication date: 18 November 2009

Full work available at URL: https://arxiv.org/abs/0905.4597

zbMATH Keywords

depthStanley depthStanley decompositions

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) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Cohen-Macaulay modules (13C14)

Related Items (7)

Combinatorial reductions for the Stanley depth of \(I\) and \(S/I\) ⋮ Depth and Stanley depth of the quotient rings of edge ideals of some lobster trees and unicyclic graphs ⋮ Depth of factors of square free monomial ideals ⋮ Stanley conjecture on monomial ideals of mixed products ⋮ Computing the Stanley depth ⋮ Graph and depth of a monomial squarefree ideal ⋮ Stanley Depth of Quotient of Monomial Complete Intersection Ideals

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