Let R be a commutative Noetherian ring, I an ideal of R and M, N finitely generated R-
modules. Let 0 an A Z. This note shows that the least integer i such that dim SuppðH i I ðM …

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 be a Noetherian ring, let M and N be finitely generated modules and let α and b be
ideals of R. Let s be an integer such that bp⊆ AnnH_a_p^i\left(M_p,N_p\right) for all i< s and …

Let $ R $ be a commutative Noetherian ring, $\fa $ an ideal of $ R $, $ M $ and $ N $ be two
finitely generated $ R $-modules. Let $ t $ be a positive integer. We prove that if $ R $ is …

Let R denote a commutative Noetherian (not necessarily local) ring, 𝔞 an ideal of R and M a
finitely generated R-module. The purpose of this article is to show that for any finitely …

Let $ R $ be a Noetherian ring, $\mathfrak a $ be an ideal of $ R $ and $ M $ be a finitely
generated $ R $-module. The aim of this paper is to show that if $ t $ is the least integer such …

Let I be an ideal of a commutative Noetherian local ring R, and M and N two finitely
generated modules. Let t be a positive integer. We mainly prove that (i) if HIi (M, N) is …

Let (R, m) be a Noetherian local ring, I an ideal of R and M, N two finitely generated R-
modules. The first result of this paper is to prove a vanishing theorem for generalized local …

Cofiniteness of generalized local cohomology modules Page 1 Accepted manuscript to appear
in JAA Accepted Manuscript Journal of Algebra and its Applications Article Title: Cofiniteness of …

The concept of Faltings' local-global principle for the minimaxness of local cohomology
modules over a commutative Noetherian ring R is introduced, and it is shown that this …