RESULTS ON ALMOST COHEN-MACAULAY MODULES

Document Type : Original Manuscript

Authors

1 Department of Mathematics, University of Kurdistan, P.O.Box 416, Sanandaj, Iran.

2 Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.

Abstract

Let (R,m) be a commutative Noetherian local ring and M be a non-zero finitely generated R-module. We show that if R is almost Cohen-Macaulay and M is perfect with finite projective dimension, then M is an almost Cohen-Macaulay module. Also, we give some necessary and sufficient condition on M to be an almost Cohen-Macaulay module, by using \Ext functors.

Keywords