@article { author = {Bahlekeh, Abdol N.}, title = {A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES}, journal = {Journal of Algebraic Systems}, volume = {8}, number = {2}, pages = {201-207}, year = {2021}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2020.9007.1438}, abstract = {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.}, keywords = {maximal Cohen-Macaulay modules,balanced big Cohen-Macaulay modules,canonical module}, url = {https://jas.shahroodut.ac.ir/article_1947.html}, eprint = {https://jas.shahroodut.ac.ir/article_1947_e3aec16656301bf5535c8b9412238431.pdf} }