SURVEY ARTICLE: SIMPLICIAL COMPLEXES SATISFYING SERRE'S CONDITION: A SURVEY WITH SOME NEW RESULTS

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of commutative algebra 2014-12, Vol.6 (4), p.455-483
Main Authors: POURNAKI, M.R., FAKHARI, S.A. SEYED, TERAI, N., YASSEMI, S.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1939-0807
1939-2346
1939-2346
DOI:10.1216/JCA-2014-6-4-455