Abstract
Let ( R;m) be a commutative Noetherian local ring, and M be a non-zeronitely-generate R-module. We show that if R is almost Cohen-Macaulay and M is perfect withnite projective dimension, 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.
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