English

Cohen-Macaulay-ness in codimension for simplicial complexes and expansion functor

Commutative Algebra 2017-01-19 v1

Abstract

In this paper we show that expansion of a Buchsbaum simplicial complex is CMtCM_t, for an optimal integer t1t\geq 1. Also, by imposing extra assumptions on a CMtCM_t simplicial complex, we prove that it can be obtained from a Buchsbaum complex.

Cite

@article{arxiv.1503.03229,
  title  = {Cohen-Macaulay-ness in codimension for simplicial complexes and expansion functor},
  author = {Rahim Rahmati-Asghar},
  journal= {arXiv preprint arXiv:1503.03229},
  year   = {2017}
}

Comments

8 pages

R2 v1 2026-06-22T08:49:44.931Z