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Paper   IPM / M / 13513
School of Mathematics
  Title:   Simplicial complexes satisfying Serre's condition: a survey with some new results
1.  M. R. Pournaki
2.  S. A. Seyed Fakhari
3.  S. Yassemi (Joint with N. Terai)
  Status:   Published
  Journal: J. Commut. Algebra
  Vol.:  6
  Year:  2014
  Pages:   455-483
  Supported by:  IPM
The problem of finding a characterization of Cohen-Macaulay simplicial complexes has been studied intensively by many authors. There are several attempts at this problem available for some special classes of simplicial complexes satisfying some technical conditions. This paper is a survey, with some new results, of some of these developments. The new results about simplicial complexes with Serre's condition are an analogue of the known results for Cohen-Macaulay simplicial complexes.

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