TY - JOUR ID - 1947 TI - A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Bahlekeh, Abdol N. AD - Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151, Gonbad Kavous, Iran. Y1 - 2021 PY - 2021 VL - 8 IS - 2 SP - 201 EP - 207 KW - maximal Cohen-Macaulay modules KW - balanced big Cohen-Macaulay modules KW - canonical module DO - 10.22044/jas.2020.9007.1438 N2 - 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. UR - https://jas.shahroodut.ac.ir/article_1947.html L1 - https://jas.shahroodut.ac.ir/article_1947_e3aec16656301bf5535c8b9412238431.pdf ER -