… 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 …

… 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 …

… local cohomology modules, namely Gorenstein and Tate local cohomology modules. By …
show that these two variations of local cohomology are tightly connected to the generalized …

… 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. …

… ask when is the localization of a local cohomology module zero at every prime ideal which is
… the injective resolution of the local cohomology has only finitely many copies of the injective …

… local 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 …

… asymptotic behavior of the family of local cohomology modules … to the vanishing of local
cohomology modules. Another kind of … of injective R-modules whose cohomology modules Hi(D …

… local duality and Matlis duality, to produce analogous associativity formulae for the local
cohomology modules of … formulae for local cohomology modules do not hold over all local rings. …

… of local cohomology modules listed in 1.2.2. … injective dimension over the relevant rings are
very helpful) give a tiny foretaste of results about the vanishing of local cohomology modules …

… local cohomology spectral sequences. We construct a double complex based on Rickard’s
idempotent kG-modules, … Ours converges to the Tate cohomology of the certain modules κp …