… ring, are studied. The correspondences are well-behaved, if the base ring is a Gorenstein
ring of dimension … Gorenstein property of the base ring, provided it is a Cohen-Macaulay local …

… Abstract We prove that for a Frobenius extension, a module over the extension ring is
Gorenstein projective if and only if its underlying module over the base ring is Gorenstein projective…

… R has finite global Gorenstein projective dimension. The second part of this paper deals
with the PGF dimension of modules and rings. Our results suggest that this dimension could …

… Given a two-sided noetherian ring A with a dualizing complex, we … dimension of A is finite
if and only if every bounded below Gorensteinprojective-acyclic cochain complex of Gorenstein-…

… Gorenstein algebras. Recall that an artin algebra A is said to be d-Gorenstein provided that
the injective dimension of … Of course, any algebra of global dimension d is d-Gorenstein The …

… Gorenstein injective modules: the Gorenstein FPn-injective modules (denoted by GIn). They
are the cycles of the exact complexes of injective … with A any FPn-injective module. Thus, GI0 …

… and A o p have finite finitistic dimension. In case the left or … injective dimension of A is finite,
A is Gorenstein. In this case the Gorenstein dimension coincides with the finitistic dimension …

… a commutative noetherian ring and proved that R is Gorenstein if and only if k has finite G-…
for every injective R-module J. A left R-module E is called Gorenstein injective if there exists …

… [11] defined Gorenstein injective and Gorenstein projective modules over a general ring. To
… , Enochs et al. in [13] introduced the notion of Gorenstein flat modules. It is well known that …

… is Gorenstein projective left -module. At the same time, … Gorenstein projective
dimensions of left -module M. Key words: triangular matrix ring;Gorenstein projective module;Gorenstein …