Let R be a commutative Noetherian ring and let M be a non-zero finitely generated R-
module. Let I be an ideal of R and ta non-negative integer such that dimSuppHIi (M)⩽ 1 for …

Let be an ideal of Noetherian ring R and let s be a non-negative integer. Let M be an R-
module such that is finite R-module. If s is the first integer such that the local cohomology …

The membership of the local cohomology modules Han (M) of a module M in certain Serre
subcategories of the category of modules is studied from below (i< n) and from above (i> n) …

The notion of weakly Laskerian modules was introduced recently by the authors. Let R be a
commutative Noetherian ring with identity, 𝔞 an ideal of R, and M a weakly Laskerian …

Let I be an ideal of a Noetherian ring R and M be a finitely generated R-module. We
introduce the class of extension modules of finitely generated modules by the class of all …

Let (R, 𝔪) be a complete local ring, 𝔞 an ideal of R, and M a finitely generated R-module.
The aim of this paper is to show that for any non-negative integer n,, where is the n th …

A Unified Approach to Local Cohomology Modules using Serre Classes Page 1 Canad. Math.
Bull. Vol. 53 (4), 2010 pp. 577–586 doi:10.4153/CMB-2010-064-0 c©Canadian Mathematical …

Let R be a noetherian ring, a an ideal of R, and M an R-module. We prove that for a finite
module M, if\rm H^ i _ a (M) is minimax for all i≥ r≥ 1, then\rm H^ i _ a (M) is artinian for i≥ …

This article centers around artinianness of the local cohomology of ZD-modules. Let a he an
ideal of a commutative Noetherian ring R. The notion of a-relative Goldie dimension of an R …

Let $ R $ be a commutative Noetherian ring with non-zero identity, $\fa $ an ideal of $ R $,
and $ X $ an $ R $--module. In this paper, for fixed integers $ s, t $ and a finite $\fa $--torsion …