… 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 …

… 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. …

… 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 …

… good behavior with respect to injective objects. We also show … category of finite-dimensional
H-modules, we obtain more … property, we construct an injective resolution for every object …

… 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 …

… This paper is concerned with a finitely generated module M … formulae for the local cohomology
modules of M with respect to … local cohomology modules do not hold over all local rings. …

… 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 …

… 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 …

… module is representable, and so is any injective module as … A module M is said to have finite
Goldie dimension, if M does … nonzero submodules, or equivalently the injective hull £(M) of …

… cohomology of modules of finite Gorenstein dimension. In this section we deal with modules
of finite G-injective dimension. … any R-module N of finite G-injective dimension, there exists a …