%0 Journal Article %T A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Bahlekeh, Abdol N. %D 2021 %\ 01/01/2021 %V 8 %N 2 %P 201-207 %! A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES %K maximal Cohen-Macaulay modules %K balanced big Cohen-Macaulay modules %K canonical module %R 10.22044/jas.2020.9007.1438 %X 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. %U https://jas.shahroodut.ac.ir/article_1947_e3aec16656301bf5535c8b9412238431.pdf