Cohen-Macaulayness for symbolic power ideals of edge ideals

DOI10.1016/j.jalgebra.2011.09.007zbMath1239.13030arXiv1203.1967OpenAlexW2964171194MaRDI QIDQ2428015

Naoki Terai, Giancarlo Rinaldo, Ken-ichi Yoshida

Publication date: 19 April 2012

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

Full work available at URL: https://arxiv.org/abs/1203.1967

zbMATH Keywords

complete intersectionssimplicial complexesCohen-Macaulaysymbolic powersedge idealsfinite local cohomology (FLC)

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items

Stanley-Reisner Rings ⋮ Buchsbaumness of the second powers of edge ideals ⋮ On the associated primes and the depth of the second power of squarefree monomial ideals ⋮ Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals ⋮ On the second powers of Stanley-Reisner ideals ⋮ Licci squarefree monomial ideals generated in degree two or with deviation two ⋮ Cohen-Macaulayness of large powers of Stanley-Reisner ideals ⋮ Simplicial complexes satisfying Serre's condition: a survey with some new results ⋮ Cohen-Macaulayness of saturation of the second power of edge ideals ⋮ On the k-Buchsbaum property of powers of Stanley–Reisner ideals ⋮ Depth and regularity of monomial ideals via polarization and combinatorial optimization ⋮ Equality of ordinary and symbolic powers of Stanley-Reisner ideals ⋮ Saturation and associated primes of powers of edge ideals ⋮ Associated primes of powers of edge ideals and ear decompositions of graphs ⋮ Level property of ordinary and symbolic powers of Stanley-Reisner ideals ⋮ Cohen–Macaulayness and Limit Behavior of Depth for Powers of Cover Ideals ⋮ THE PROJECTIVE DIMENSION OF THE EDGE IDEAL OF A VERY WELL-COVERED GRAPH

Cites Work

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• Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals
• \(H\)-vectors of simplicial complexes with Serre's conditions
• A note on the Stanley-Reisner ring of a join and of a suspension
• Vollständige Durchschnitte in Cohen-Macaulay-Ringen
• On the ideal theory of graphs
• Locally complete intersection Stanley-Reisner ideals
• On the radical of a monomial ideal
• Effective Cowsik–Nori Theorem for Edge Ideals
• Über vollständige Durchschnitte in lokalen Ringen
• Stanley-Reisner ideals whose powers have finite length cohomologies