Let R be a commutative noetherian Cohen-Macaulay ring which admits a dualizing module.
We show that for any finitely generated R-module N there exists a maximal Cohen-Macaulay …

This book is a comprehensive treatment of the representation theory of maximal Cohen-
Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative …

TOWARD A THEORY OF GENERALIZED COHEN-MACAULAY MODULES NGO VIET
TRUNG Introduction Throughout this paper, A denotes a noetherian Page 1 NV Trung Nag …

for a noetherian scheme, we introduce its unbounded stable derived category. this leads to a
recollement which reflects the passage from the bounded derived category of coherent …

This book is a lightly edited version of the unpublished manuscript Maximal Cohen–
Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz …

This paper contains two theorems concerning the theory of maximal Cohen–Macaulay
modules. The first theorem proves that certain Ext groups between maximal Cohen …

Throughout this paper, the word" ring" will mean" commutative,(associative,) Noetherian ring
with a non-zero multiplicative identity". In [9], I discussed the Cousin Complex, C (M), for a …

Since Bass' original paper [5] on injective resolutions and Gorenstein rings, there has been
a number of papers following a similar theme. Perhaps the most notable is the paper of …

The purpose of these notes is to explain in detail some topics on the intersection of
commutative algebra, representation theory and singularity theory. They are based on …

We introduce and investigate the notion of 𝐺𝐶-projective modules over (possibly non-
Noetherian) commutative rings, where 𝐶 is a semidualizing module. This extends Holm and …