In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …

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 study homological properties of test modules that are, in principle, modules that detect
finite homological dimensions. The main outcome of our results is a generalization of a …

Gorenstein homological dimensions are refinements of the classical homological
dimensions, and finiteness singles out modules with amenable properties reflecting those of …

The Existence of Finitely Generated Modules of Finite Gorenstein Injective Dimension Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 134, Number 11 …

We study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …

In this article, we investigate the change of rings theorems for the Gorenstein dimensions
over arbitrary rings. Namely, by the use of the notion of strongly Gorenstein modules, we …

In case A has finite Krull-dimension, say d, it is well-known by Bass [2] that A is a Gorenstein
ring if and only if ExtiA (M, A)=(0) for every finitely generated A-module M and for every …

INJECTIVE MODULES UNDER FLAT BASE CHANGE Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 5 0, July 1975 INJECTIVE MODULES UNDER …

In basic homological algebra, the projective, injective and flat dimensions of modules play
an important and fundamental role. In this paper, the closely related Gorenstein projective …