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Paper   IPM / M / 13374
School of Mathematics
Title:   Cohen-Macaulayness and limit behavior of depth for powers of cover ideals
Author(s):
 1 M. R. Pournaki 2 S. A. Seyed Fakhari 3 S. Yassemi (Joint with A. Constantinescu and N. Terai)
Status:   Published
Journal: Comm. Algebra
Vol.:  43
Year:  2015
Pages:   143-157
Supported by:  IPM
Abstract:
Let \mathbbK be a field, and let R=\mathbbK[x1,...,xn] be the polynomial ring over \mathbbK in n indeterminates x1,…,xn. Let G be a graph with vertex-set {x1,...,xn}, and let J be the cover ideal of G in R. For a given positive integer k, we denote the kth symbolic power and the kth bracket power of J by J(k) and J[k], respectively. In this paper, we give necessary and sufficient conditions for R/Jk, R/J(k), and R/J[k] to be Cohen-Macaulay. We also study the limit behavior of the depths of these rings.