For a Noetherian ring $ R $ we call an $ R $-module $ M $ cofinite if there exists an ideal $ I
$ of $ R $ such that $ M $ is $ I $-cofinite; we show that every cofinite module $ M $ satisfies …

Let R be a commutative Noetherian ring, α an ideal of R, and M, N two finitely generated R-
modules. We prove that the generalized local cohomology modules Ht α (M, N) are α …

In this note we show that if $ I $ is an ideal of a Noetherian ring $ R $ and $ M $ is a finitely
generated $ R $-module, then for any minimax submodule $ N $ of $ H^{t} _ {I}(M) $ the $ R …

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 …

Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals Page 1
Canadian Mathematical Bulletin doi:10.4153/CMB-2011-046-8 c©Canadian Mathematical …

Let $\fa $ denote an ideal of a commutative Noetherian ring $ R $ and $ M $ and $ N $ two
finitely generated $ R $-modules with $\pd M<\infty $. It is shown that if $\fa $ is principal or …

It is well known that for a Noetherian ring R, an ideal I of R, and M a finitely generated R-
module, the local cohomology modules HiI (M) are not always finitely generated. On the …

Let R be a commutative Noetherian local ring, I an ideal of R, and let M be a non-zero finitely
generated R-module. In this paper, we establish some new properties of the local …

Let be an ideal of a commutative Noetherian ring R, and let M and N be finitely generated R-
modules. Let be the-finiteness dimension of N. In this paper, among other things, we show …

Let R be a commutative Noetherian ring, I and J be two ideals of R and M be an R-module
(not necessary I-torsion). In this paper among other things, it is shown that if dim M≤ 1, then …