… a right Flat-resolution. On the … -resolution of the first variable or a left Flat-resolution of the
second variable. Throughout this paper, R is an associative ring with identity and all modules …

… quasi k-Gorenstein for all k. Recall that Λ is called a k-Gorenstein ring if the right flat dimension
of the (i + 1)st term in a minimal injective resolution of Λ as a right Λ-module is less than …

… We establish a relation between Gorenstein injective modules and … a Gorenstein ring, then
for any R-module M its local cohomology modules can be calculated by means of a resolution …

… a commutative noetherian ring. As a running hypothesis we will assume that A is a
homomorphic image of a Gorenstein ring (a commutative noetherian ring R is Gorenstein if Rv has …

… These modules are a generalization of flat modules. After … of modules over a Gorenstein
ring, we prove that every module … If there is a resolution of length m by pure injectie modules, i.…

… that for every module M with a left injective resolution, one has E x … ring with id R R<∞
and M is a Gorenstein projective left R-module, then E x t R i ≥ 1 ( M , F ) = 0 for any left R-module …

… We show that every module M with finite Gorenstein projective dimension admits a nice
Gorenstein projective precover: … For any R-module M we define two types of resolutions. …

… a 2-Gorenstein ring a quasinormal ring. There is yet another characterization of w-Gorenstein
rings which comes about … i) G{A) is a minimal injective resolution of A up to Cn~\A) [18]. …

… , which is, in fact, the resolution of a module of finite length and finite projective dimension. In
… Gorenstein ring of dimension 5 and G• is the finite free resolution of the module M, we have …

… is any projective resolution of M with each Pi fg and *=Hom(—, A… Gorenstein ring then it is
proved for all n in [4, Proposition 3.2]. In [3] several equivalent conditions on «-Gorenstein rings …