Although there has been a lot of work and success lately in the theory of such modules, of
which this conference witnessed, it has remained mysterious-at least to the present author …

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 …

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

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 …

The purpose of these notes is to present a structure theory for Artinian modules over a 1-
dimensional, Noetherian, Cohen-Macaulay ring, and to show that many of the properties of …

This paper examines a class of finitely generated Cohen-Macaulay modules of the maximal
possible dimension over a Cohen-Macaulay local or homo geneous ring. The number of …

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 …

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

The trace of the canonical module (the canonical trace) determines the non-Gorenstein
locus of a local Cohen-Macaulay ring. We call a local Cohen-Macaulay ring nearly …

Notation. The ring A will always be commutative and noetherian, while G always denote a
finitely generated (fg) non-zero A-module. The endomorphism ring Hom^(G, G) of G will be …