RESULTS ON ALMOST COHEN-MACAULAY MODULES

Let (R;m) be a commutative Noetherian local ring, and M be a non-zero nitely-generated R-module. We show that if R is almost Cohen-Macaulay andM is perfect with nite projectivedimension, then M is an almost Cohen-Macaulay module. Also, we give some necessary and sufficient conditions on M to be an almost Cohen-Macaulay module, by using Ext functors.

کلیدواژه ها:

Almost Cohen-Macaulay module ، Perfect module ، Ext functor