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.
Bahlekeh, A. N. (2021). A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES. Journal of Algebraic Systems, 8(2), 201-207. doi: 10.22044/jas.2020.9007.1438
MLA
Bahlekeh, A. N. . "A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES", Journal of Algebraic Systems, 8, 2, 2021, 201-207. doi: 10.22044/jas.2020.9007.1438
HARVARD
Bahlekeh, A. N. (2021). 'A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES', Journal of Algebraic Systems, 8(2), pp. 201-207. doi: 10.22044/jas.2020.9007.1438
CHICAGO
A. N. Bahlekeh, "A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES," Journal of Algebraic Systems, 8 2 (2021): 201-207, doi: 10.22044/jas.2020.9007.1438
VANCOUVER
Bahlekeh, A. N. A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES. Journal of Algebraic Systems, 2021; 8(2): 201-207. doi: 10.22044/jas.2020.9007.1438
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