RESULTS ON ALMOST COHEN-MACAULAY MODULES | ||
| Journal of Algebraic Systems | ||
| مقاله 5، دوره 3، شماره 2، فروردین 2016، صفحه 147-150 اصل مقاله (98.66 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2015.614 | ||
| نویسندگان | ||
| A. Mafi* 1؛ S. Tabejamaat2 | ||
| 1Department of Mathematics, University of Kurdistan, P.O.Box 416, Sanandaj, Iran. | ||
| 2Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Almost Cohen-Macaulay modules؛ Cohen-Macaulay modules؛ Ext functors | ||
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