Arithmetical rank of lexsegment edge ideals

zbMath1224.13026arXiv0911.2884MaRDI QIDQ3007942

Oana Olteanu, Naoki Terai, Viviana Ene

Publication date: 17 June 2011

Full work available at URL: https://arxiv.org/abs/0911.2884

zbMATH Keywords

regularityprojective dimensionedge idealsAlexander dualarithmetical ranksquarefree lexsegment ideals

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Ideals and multiplicative ideal theory in commutative rings (13A15) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (8)

A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra ⋮ Linear resolutions of t-spread lexsegment ideals via Betti splittings ⋮ Arithmetical rank of Gorenstein squarefree monomial ideals of height three ⋮ The arithmetical rank of the edge ideals of graphs with whiskers ⋮ Arithmetical rank of a squarefree monomial ideal whose Alexander dual is of deviation two ⋮ The arithmetical rank of the edge ideals of graphs with pairwise disjoint cycles ⋮ Binomial arithmetical rank of edge ideals of forests ⋮ PROPERTIES OF $T$-SPREAD PRINCIPAL BOREL IDEALS GENERATED IN DEGREE TWO

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