… to finite G-dimension, we obtain a larger class of local homomorphisms, which we call
quasi-Gorenstein at . By using … For the Gorenstein dimension we have the following partial results. …

… Gorenstein dimensions are homological … ring homomorphisms with good homological
properties. This paper is concerned with the Gorenstein injective dimension and the Gorenstein …

… S be a ring homomorphism. We consider the relationships of the Gorenstein dimensions of
an … More generally, the Gorenstein injective dimension of RHom R (U, X) is considered where …

… A basic question is whether the same property holds for modules over a homomorphism; …
the case for flat dimension; this paper focuses on the Gorenstein flat dimension. Introduced by …

… The G-dimension, short for Gorenstein dimension, of finite modules was introduced by
Auslander in [1], and the finer details were developed in his joint paper [2] with Bridger. This …

… projective precover of a module M is a homomorphism of modules, G→M, where G is
Gorenstein projective, such that the sequence Hom R (Q,G)→ Hom R (Q,M)→0 is exact for every …

… of the finiteness of the Gorenstein cohomological dimension, we show that, for any commutative
ring k of finite global dimension and any group G , the finiteness of Gcd k G implies that …

… conditions for such rings to be Gorenstein Artin algebras. This is … dimension. In particular, we
show that the latter category is a … The surjective ring homomorphism R −→ R/ReR induces a …

… For (i) => (iii) one uses (1.3) to see that S is a Gorenstein ring, and concludes that id^ S < oo
by the equivalence of the finiteness of the flat or injective dimension over the Gorenstein ring …

… image of a finite-dimensional Gorenstein ring is acceptable, and that the … Gorenstein k-algebra.
Consequently, our proposed modification of the definition of regular ring homomorphism …