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 …

COFINITENESS OF LOCAL COHOMOLOGY MODULES FOR IDEALS OF DIMENSION ONE
Page 1 K.-I. Yoshida Nagoya Math. J. Vol. 147 (1997), 179-191 COFINITENESS OF LOCAL …

Let M be a non-zero finitely generated module over a commutative Noetherian local ring (R,
𝔪). In this paper we consider when the local cohomology modules are finitely generated. It is …

Let R be a commutative Noetherian ring, 𝔞 an ideal of R, and M a non-zero finitely
generated R-module. Let t be a non-negative integer. In this paper, it is shown that for all i< t …

Let 𝔞 be an ideal of a commutative Noetherian local ring R, and let M and N be two finitely
generated R-modules. Let t be a positive integer. It is shown that if the support of the …

We show that if M is a finitely generated module over a commutative Noetherian local ring R
and I is a dimension one ideal of R (ie, dim RI= 1), then the local cohomology modules HIi …

Let R be a commutative Noetherian ring, α an ideal of R, and M, N two finitely generated R-
modules. We prove that the generalized local cohomology modules Ht α (M, N) are α …

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 …

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 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 …