Let R be a commutative Noetherian ring and I a proper ideal of R. In this paper, we study
finitely generated R-modules M with only one non-vanishing local cohomology module\({H} …

Let $ R $ be a commutative Noetherian ring with non-zero identity, $\mathfrak {a} $ and
$\mathfrak {b} $ ideals of $ R $ with $\mathfrak {a}\subseteq\mathfrak {b} $, and $ M $ a …

Let I be an ideal of a local commutative noetherian ring (R, m R, m) and M a finitely
generated R-module. We study some properties of the top formal local cohomology module …

Let $ M $ be a non-zero finitely generated module over a finite dimensional commutative
Noetherian local ring $(R,\mathfrak {m}) $ with dim $ _R (M)= t $. Let $ I $ be an ideal of $ R …

Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules HI j (M)
are I-cofinite for all finitely generated R-modules M and all j∈ ℕ0 if and only if the R …

Let 𝔞 and 𝔟 be ideals of a commutative Noetherian ring R and M be a finitely generated R-
module of dimension d> 0. We prove some results concerning the top local cohomology and …

Let R be a commutative Noetherian ring, \mathfraka be an ideal of R, n be a non-negative
integer, X be an arbitrary R-module and L be a finitely generated R-module. We characterize …

Let R be a commutative Noetherian ring with non-zero identity and I be an ideal of R. Let M
and N be two finitely generated R-modules. In this paper it is shown that, if \rmcd(I,R)≦1 and …

Let R be a local ring and C a semidualizing module of R. We investigate the behavior of
certain classes of generalized Cohen-Macaulay R-modules under the Foxby equivalence …

This paper is concerned with the relation between local cohomology modules defined by a
pair of ideals and Serre classes of R-modules. Let R be a commutative Noetherian ring, I, J …