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On a class of squarefree monomial ideals of linear type

Commutative Algebra 2013-09-05 v1 Combinatorics

Abstract

In a recent work, Fouli and Lin generalized a Villarreal's result and showed that if each connected components of the line graph of a squarefree monomial ideal contains at most a unique odd cycle, then this ideal is of linear type. In this short note, we reprove this result with Villarreal's original ideas together with a method of Conca and De Negri. We also propose a class of squarefree monomial ideals of linear type.

Keywords

Cite

@article{arxiv.1309.1072,
  title  = {On a class of squarefree monomial ideals of linear type},
  author = {Yi-Huang Shen},
  journal= {arXiv preprint arXiv:1309.1072},
  year   = {2013}
}

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12 pages