… localization of a local cohomology module zero at every prime ideal which is not the maximal
ideal. In this form, this is a question of the vanishing of the local cohomology, and can be …

… local ring of positive characteristic. This paper is concerned with the local cohomology modules
… the Bass numbers of all such local cohomology modules are finite, that each such local …

… deduce that the first non-a-cofinite local cohomology module of M with respect to a has only
… For an ideal a of R and an R-module M, the i-th local cohomology module of M with respect …

… module over a commutative Noetherian local ring R and I is a dimension one ideal of A (ie,
dim R/I = l), then the local cohomology modules H;(… We also show that if R is a complete local …

… that, if for a finitely generated R-module M and an integer t, the local cohomology modules
… generated R-module, and I will be an ideal of R. The ith local cohomology module of M with …

Let (R,m) be a local, noetherian, d-dimensional ring and let M be a finitely generated R-module.
Since the local cohomology modules are artinian, is finitely generated for all i and j (see […

… a with dim A/a = 1 in an arbitrary local ring A. Delfino and Marley also showed that in this
case all Bass numbers of these local cohomology modules are finite. See also [6], where Ken-…

… For an R-module M, the ith local cohomology module of M … R such that dim R/I = 1, then
the local cohomology modules Hi … on finiteness properties of local cohomology modules, see …

… R is a direct summand (as an R-module) of every module-finite extension ring S 3 R.) The …
” in the local cohomology of special modules of syzygies. (Neither the modules of syzygies nor …

… 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. …