Let R be a commutative Noetherian ring. The notion of the G-dimension of a finitely
generated module over such a ring was introduced by Auslander and Bridger [AB]. Over a …

In this paper we study relative and Tate cohomology of modules of finite Gorenstein injective
dimension. Using these cohomology theories, we present variations of Grothendieck local …

We define and study a notion of Gorenstein projective dimension for complexes of left
modules over associative rings. For complexes of finite Gorenstein projective dimension we …

Let R be a (not necessary finite dimensional) commutative noetherian ring and let C be a
semi-dualizing module over R. There is a generalized Gorenstein dimension with respect to …

A new homological dimension, called G*-dimension, is defined for every finitely generated
module M over a local noetherian ring R. It is modeled on the CI-dimension of Avramov …

For a horizontally linked module, over a commutative semiperfect Noetherian ring R, the
connections of its invariants reduced grade, Gorenstein dimension and depth are studied. It …

We study finitely generated modules has finite projective dimension. Comparison
morphisms and link these functors. We give a self-contained treatment of modules of finite G …

Cohen-Macaulay dimension for modules over a commutative ring has been defined by AA
Gerko. That is a homological invariant sharing many properties with projective dimension …

Let (R, m) be commutative Noetherian local ring. It is shown that R is Cohen-Macaulay ring if
there exists a Cohen-Macaulay finite (ie finitely generated) R-module with finite upper …

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 …