Let R be a commutative Noetherian ring, a an ideal of R, M an R-module and ta non-
negative integer. In this paper we show that the class of minimax modules includes the class …

Let R be a commutative Noetherian ring, and let b ⊆ ab⊆ a be ideals of R. The goal of this
paper is to show that, for a finitely generated R-module M, if the set\rm Ass _R (H_ a^ f_ a^ b …

Let (R, 𝔪) be a complete noetherian local ring and M a finitely generated R-module of
dimension n and 𝔞 an ideal of R. At first, we find a relation between top local cohomology …

Let R be a commutative ring with identity, a an ideal of R and M a finitely generated R-
module. In this paper, for fixed integers t and j, we study the existence of the following …

Let R be a commutative Noetherian ring, 𝔞 an ideal of R, M a finite R–module with finite
projective dimension, and X an arbitrary R–module. In this paper, for fixed integers s, t and …

Let $ R $ be a commutative ring and let $ S $ be an $ R $-algebra. It is well-known that if $ N
$ is an injective $ R $-module, then $\operatorname {Hom} _R (S, N) $ is an injective $ S …

Let R be a commutative Noetherian ring and aa proper ideal of R. We show that if n:=
gradeR a, then EndR (Hn a (R))∼= Extn R (Hn a (R), R). We also prove that, for a …

Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M and X finite
R–modules, and ta non-negative integer such that H ai (M, X) is a–cofinite for all i< t. In this …

Let R be a commutative Noetherian ring with nonzero identity and let M be a finitely
generated R-module. In this paper, we prove that if an ideal I of R is generated by a usd …

Research Paper ON THE COFINITENESS OF LOCAL COHOMOLOGY MODULES Page 1
Algebraic Structures and Their Applications Vol. 9 No. 1 (2022) pp 81-92. Research Paper …