A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES

Document Type : Original Manuscript

Author

Department of Mathematics, Gonbad Kavous University, P.O. Box 4971799151, Gonbad Kavous, Iran.

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.

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Journal of Algebraic Systems
Volume 8, Issue 2
January 2021
Pages 201-207

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