Let (R, m) be a commutative Noetherian complete local ring and let M be a non-zero Cohen-
Macaulay R-module of dimension n. It is shown that,(i) if projdim R (M)<∞, then injdim …

Full article: A Note on the Associated Primes of Local Cohomology Modules Skip to Main
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Finiteness of Extension Functors of Local Cohomology Modules Page 1 Communications in
Algebra®, 34: 3097–3101, 2006 Copyright © Taylor & Francis Group, LLC ISSN: 0092-7872 …

1. Let A be a Noetherian local ring, m its maximal ideal. For any, 4-module M, let Lm {M)= lim
Honu04/mfc, M), so that Lm is a left exact additive functor on the category of 4-modules. The …

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 …

It is well known that for a Noetherian ring R, an ideal I of R, and M a finitely generated R-
module, the local cohomology modules HiI (M) are not always finitely generated. On the …

ON THE COFINITENESS PROPERTIES OF CERTAIN GENERAL LOCAL COHOMOLOGY
MODULES 1. Introduction Throughout this paper, we assume that Page 1 ON THE …

Let (R,m) be a complete Noetherian local ring, I a proper ideal of R and M, N two finitely
generated R-modules such that Supp (N)⊆V(I). Let t≧0 be an integer such that for each …

Let (R, m) be a commutative Noetherian local ring with non-zero identity, a an ideal of R and
M a finitely generated R-module with a M ≠ M. Let D (–):= Hom R (–, E) be the Matlis dual …

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 …