The first part of this paper is concerned with the Artinianness of certain local cohomology
modules when M is a Matlis reflexive module over a commutative Noetherian complete local …

In this paper we investigate the Artinianness of certain local cohomology modules $ H^ i_I
(N) $ where N is a minimax module over a commutative Noetherian ring R and I is an ideal …

A Note on Homological Dimensions of Artinian Local Cohomology Modules Page 1 Canad.
Math. Bull. Vol. 56 (3), 2013 pp. 491–499 http://dx.doi.org/10.4153/CMB-2011-197-9 c …

Let be an ideal of a commutative Noetherian local ring and M, N be two finitely generated R-
modules such that M is of finite projective dimension n. Let t be a positive integer. We show …

Let R be a commutative Noetherian local ring, I a proper ideal of R, M, and N finitely
generated R-modules. It is proved that f-depth (I+ Ann (M), N) is the least integer r such that …

Let (R, 𝔪) be a Noetherian local ring. Denote by N-dim RA the Noetherian dimension of an
Artinian R-module A. In this paper, we give some characterizations for the ring R to satisfy N …

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 …

As a generalization of the ordinary local cohomology modules, recently some authors
introduced the local cohomology modules with respect to a pair of ideals. In this paper, we …

Let 𝔞 be an ideal of a local ring (R, 𝔪) and M a finitely generated R-module. In this paper we
study the Artinianness properties of formal local cohomology modules and we obtain the …

Let $\fa $ be an ideal of a Noetherian local ring $(R,\fm) $ and $ M $ a finitely generated $ R
$-module. In this paper we introduce some criterions on Artinianness of formal local …