… is to study the injective and Gorenstein injective dimensions of certain R-modules in terms
of injective and Gorenstein injective dimensions of local cohomology modules at support a. In …

… and Tate cohomology of modules of finite Gorenstein injective dimension. Using these
cohomology theories, we present variations of Grothendieck local cohomology modules, namely …

… M its local cohomology modules can be calculated by means of a resolution of M by
Gorenstein injective modules. Also we prove that if R is d-Gorenstein, M is a Gorenstein injective …

… the top local cohomology module Hdim R α (R) is a Gorenstein injective R-module for any
ideal a of R. Notice that an injective module is a Gorenstein injective module. In Yoshizawa [20…

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

… Gorenstein homology. The main ingredients of this relative theory are Gorenstein projective,
Gorenstein injective, and Gorenstein … Gorenstein injective modules and Gorenstein injective …

… R-modules P. Then for an R-module N, the notion Gid N, Gorenstein injective dimension of
… right resolutions of N which are consisting of Gorenstein injective modules. Similarly, Gpd N, …

… still remained as to when copure injective means Hom(E(R)/R, M) = 0 if idR 2 2. In Corollary
… a Gorenstein injective R-module. We will say that an R-module M is strongly copvre injective …

… Gorenstein injective (left and right) resolutions. We prove that the class of Gorenstein injective
modules … such that the character modules of Gorenstein injectives are Gorenstein flat. We …

… For the injective homotopy thi For the projective homotopy this happen perfect. In both … we
study the existence to the projective or injective homoto categories are not in general triangulat …