Let 𝔞 be an ideal of a Noetherian ring R. Let s be a nonnegative integer and let M and N be
two R-modules such that ExtjR (M/𝔞M, Hi𝔞 (N)) is finite for all i< s and all j≥ 0. We show that …

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 be a commutative Noetherian ring, let I be an ideal of R, and let M, N be two finitely
generated R-modules. The aim of this paper is to investigate the I-cofiniteness of …

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 $\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 …

Let R be a commutative Noetherian ring and I an ideal of R. Let t∈N_0 be an integer, M a
finitely generated R-module and X be an R-module such that \Ext^i_R(R/I,X) is finitely …

Let n and t be non-negative integers, R a commutative Noetherian ring with dim (R)≤ n+ 2,
a an ideal of R, M and N finite R-modules, and X an arbitrary R-module. We prove that if Ext …

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 $ 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 R be a commutative Noetherian ring, a an ideal of R, and let M be a finitely generated R-
module. For a non-negative integer t, we prove that H_ a^ t (M) is a-cofinite whenever H_ a …