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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.


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