Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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

Document Type : Research Paper

Author
Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, P.O. Box 55181-83111, Maragheh, Iran, and, School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran.
Abstract
In this paper we show that expansion of a Buchsbaum simplicial complex is $CM_t$, for an optimal integer $tgeq 1$. Also, by imposing extra assumptions on a $CM_t$ simplicial complex, we prove
that it can be obtained from a Buchsbaum complex.
Keywords
Subjects

Volume 42, Issue 1 - Serial Number 1
February 2016
Pages 223-232

  • Receive Date 30 September 2014
  • Revise Date 07 December 2014
  • Accept Date 07 December 2014