@article { author = {Mafi, A. and Tabejamaat, S.}, title = {RESULTS ON ALMOST COHEN-MACAULAY MODULES}, journal = {Journal of Algebraic Systems}, volume = {3}, number = {2}, pages = {147-150}, year = {2015}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2015.614}, abstract = {Let $(R,\underline{m})$ 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 = {Almost Cohen-Macaulay modules,Cohen-Macaulay modules,Ext functors}, url = {https://jas.shahroodut.ac.ir/article_614.html}, eprint = {https://jas.shahroodut.ac.ir/article_614_d7afaf2c070483f534a968021ba416ea.pdf} }