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.
- (S) simplicial complex
- Cohen-Macaulay simplicial complex
- Sequentially (S) simplicial complex
- Sequentially cohen-macaulay simplicial complex
- Simplicial complex
ASJC Scopus subject areas
- Algebra and Number Theory