A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES | ||
| Journal of Algebraic Systems | ||
| دوره 8، شماره 2، فروردین 2021، صفحه 201-207 اصل مقاله (136.24 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2020.9007.1438 | ||
| نویسنده | ||
| Abdol N. Bahlekeh* | ||
| Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151, Gonbad Kavous, Iran. | ||
| چکیده | ||
| Let $(R, m, k)$ be a Cohen-Macaulay complete local ring with the canonical module $\omega$. The aim of this note, is to show that, under mild assumptions, the class of balanced big Cohen--Macaulay modules coincides with the one consisting of those modules admitting a right resolution by modules in $ Add\omega$. This generalizes the well-known result for the class of maximal Cohen--Macaulay modules. | ||
| کلیدواژهها | ||
| maximal Cohen-Macaulay modules؛ balanced big Cohen-Macaulay modules؛ canonical module | ||
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