… For a Noetherian ring R we call an R-module M cofinite if there … module M satisfies dimR(M)
≤ injdimR(M). As an application we study the question which local cohomology modules Hi …

… -module M its local cohomology modules can be calculated by means of a resolution of M by
Gorenstein injective modules. … an R-module M has Gorenstein injective dimension less than …

… They studied absolute, relative and Tate cohomology of modules of finite Gorenstein
dimension. In this section we deal with modules of finite G-injective dimension. Basically some of …

… injective dimensions of a relative Cohen-Macaulay module and its non-zero local cohomology
module… Here we adopt the convention that the injective dimension of the zero module is to …

… cohomology commutes with localization. Furthermore E · ⊗ Rp is isomorphic to the minimal
injective … in order to estimate the dimension of local cohomology modules. To this end let us …

… to introduce the cohomological dimension of two modules M and … results about the
cohomological dimension of two modules. The … In view of [3, Corollary 2.1.6], there exists an …

… Much of this paper is concerned with the depth and the Krull dimension of the cohomology
ring, and various localizations of it. We begin with a statement that must be well known, but for …

… of M is bounded above by the dimension of the support of M. This is applied to give a … between
the injective dimension and the dimension of the support for local cohomology modules Hi …

… for injective dimension. As an application we obtain some results on the injective dimension
of local cohomology modules. … a Cohen–Macaulay R-module of finite projective dimension. …

… They studied absolute, relative and Tate cohomology of modules of finite Gorenstein
dimension. In this section we deal with modules of finite G-injective dimension. Basically some of …