Arithmetical rank of lexsegment edge ideals

2009/11/15 by Viviana Ene, Ene, Viviana, Oana Olteanu +3 · 1 citation
Mathematics · #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.0911.2884

Abstract

Let I⊂ S=K[x₁,...,x_n] be a lexsegment edge ideal or the Alexander dual of such an ideal. In both cases it turns out that the arithmetical rank of I is equal to the projective dimension of S/I.

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• Arithmetical rank of Cohen-Macaulay squarefree monomial ideals of height two

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