On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence
Commutative Algebra
2021-10-28 v2
Abstract
Let R be a local ring and C a semidualizing module of R. We investigate the behavior of certain classes of generalized Cohen-Macaulay R-modules under the Foxby equivalence between the Auslander and Bass classes with respect to C. In particular, we show that generalized Cohen-Macaulay R-modules are invariant under this equivalence and if M is a finitely generated R-module in the Auslander class with respect to C such that C\otimes_RM is surjective Buchsbaum, then M is also surjective Buchsbaum.
Keywords
Cite
@article{arxiv.2010.06546,
title = {On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence},
author = {Kosar Abolfath Beigi and Kamran Divaani-Aazar and Massoud Tousi},
journal= {arXiv preprint arXiv:2010.06546},
year = {2021}
}
Comments
To appear in Czechoslovak Mathematical Journal