… the least number at which such vanishing occurs by defining the cohomological dimension
… the injective resolution of the local cohomology has only finitely many copies of the injective …

… Assume K has jinite injective dimension t as K-module. If A is a Kprojective A-… P has A-injective
dimension s m + t. By Lemma 2.2 we need only show that for every injective K-module …

… dimensional ring and let M be a finitely generated /2-module. Since the local cohomology
modules … Induction on the length of a prime filtration of N shows that it suffices to prove the …

… Finally, we prove that if M is an n-dimensional finitely generated module over a Noetherian
local ring R and I is any ideal of R, then H;(M) is I-cofinite. @ 1997 Elsevier Science BV …

… is an R -module, we denote by H Y i (R) the i th local cohomology module of M with support
… Let k and R be such that R f has finite length in the category of D(R,k) -modules for every f∈…

… local cohomology of R with support in / is /-cofinite. Finally we extend (ii) above to dimension
… Since the injective dimension of H is 1 by Proposition 3-l (iii), we get from the induced long …

… cohomology module has finite set of associated prime ideals, and that, whenever such a local
cohomology module is Artinian, then it must be injective… low-dimensional evidence related …

… between relative cohomology modules and absolute cohomology modules in this … dimension.
In parallel, we develop the dual theory for injective dimension and C-injective dimension…

… paper is to compare the cohomological dimension of a group, relative to finite modules, with
the cohomological dimension, in the usual … Now, let Q be an injective G-module. Since Q is 5-…

… In Theorem 2·1 we prove that if A is a local ring of dimension at most two we actually … the
injective hull E(M) of M decomposes as a finite direct sum of indecomposable injective modules: …