English

Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals

Commutative Algebra 2010-03-11 v1

Abstract

Two-dimensional squarefree monomial ideals can be seen as the Stanley-Reisner ideals of graphs. The main results of this paper are combinatorial characterizations for the Cohen-Macaulayness of ordinary and symbolic powers of such an ideal in terms of the associated graph.

Keywords

Cite

@article{arxiv.1003.2149,
  title  = {Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals},
  author = {Nguyen Cong Minh and Ngo Viet Trung},
  journal= {arXiv preprint arXiv:1003.2149},
  year   = {2010}
}

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9 pages