Stanley depth and size of a monomial ideal

DOI10.1090/S0002-9939-2011-11160-2zbMath1234.13013arXiv1011.6462OpenAlexW1966521472MaRDI QIDQ3116537

Jürgen Herzog, Dorin Popescu, Marius Vladoiu

Publication date: 24 February 2012

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

Full work available at URL: https://arxiv.org/abs/1011.6462

zbMATH Keywords

regularityAlexander dualityStanley depthsize of a monomial ideal

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)

Related Items

Stanley depth and Stanley support-regularity of monomial ideals ⋮ Standard decompositions in generic coordinates ⋮ Stanley depths of certain Stanley-Reisner rings ⋮ Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters ⋮ ON THE STANLEY DEPTH AND SIZE OF MONOMIAL IDEALS ⋮ Minimal depth of monomial ideals via associated radical ideals ⋮ Depth of factors of square free monomial ideals ⋮ Stanley conjecture on monomial ideals of mixed products ⋮ Castelnuovo-Mumford regularity and projective dimension of a squarefree monomial ideal ⋮ Graph and depth of a monomial squarefree ideal ⋮ Projective dimension and Castelnuovo–Mumford regularity of t-spread ideals ⋮ The Stanley regularity of complete intersections and ideals of mixed products

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