… Similarly, if M is a finitely generated R-module, we can construct projective resolvents of M
using projective preenvelopes (see Enochs-Jenda [6]). However, projective envelopes do not …

… The dual concept, Gorenstein projective modules, was already introduced by Auslander …
for finitely generated modules over a two-sided Noetherian ring. Gorenstein flat modules were …

… we will show that the measure of Gorenstein injectivity or projectivity of a module is …
that M is a nonzero finitely generated module over a complete local n-Gorenstein ring R. …

… is a module of finite positive Gorenstein injective dimension … R, then its Gorenstein injective
dimension is the supremum of … finitely generated and non-zero, then its Gorenstein injective …

… that R is Gorenstein if and only if R has finite Gorenstein injective dimension as an R–module;
this … Here it is important that a finitely generated R–module is of finite Gorenstein injective …

… on Gorenstein projective modules. We omit the dual version, ie, the ones for Gorenstein
injective modules. … all the finitely generated strongly Gorenstein projective modules over upper …

… ], we call a finite-dimensional algebra A a Gorenstein algebra if A … In this paper A will
always denote a finite-dimensional k-algebra … all modules will be finitely generated left A-modules. …

… , and hence a result of Foxby implies that R is Gorenstein. We prove that the … finitely
generated modules that have finite injective dimension and finite reducing Gorenstein dimension, …

… Gorenstein local ring, then a fg J?-module has finite injective … results about fg modules of
finite projective dimension can be … results about fg modules of finite injective dimension over our …

… finitely generated modules of finite injective dimension under this ring extension; for this reason,
a discussion of the behaviour of such modules … a flat local Gorenstein homomorphism of …