Title of article
A NOTE ON BALANCED BIG COHEN–MACAULAY MODULES
Author/Authors
Bahlekeh, Abdol N. Department of Mathematics - Gonbad Kavous University, Gonbad Kavous, Iran
Pages
7
From page
201
To page
207
Abstract
Let (R,m,k) be a Cohen-Macaulay complete local ring with the canonical module ω. 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 Addω. 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
Journal title
Journal of Algebraic Systems
Serial Year
2021
Record number
2685636
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