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 …

In this article, we prove the following generalization of a result of Hartshorne: Let (S, n) be a
regular local ring of dimension 4. Assume that x, y, u, v is a regular system of parameters for …

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 …

arXiv:1212.0245v1 [math.AC] 2 Dec 2012 Page 1 arXiv:1212.0245v1 [math.AC] 2 Dec 2012 A
NOTE ON SOME TOP LOCAL COHOMOLOGY MODULES MAJID EGHBALI ABSTRACT. Let …

1. Introduction Page 1 ON THE PROPERTIES OF FORMAL LOCAL COHOMOLOGY
MODULES B. Sadeqi Article type: Research Article (Received: 04 March 2022, Received in …

ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY
MODULES Page 1 ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL …

Let R be a noetherian ring, 𝔞 an ideal of R such that dim R/𝔞= 1 and M a finite R-module.
We will study cofiniteness and some other properties of the local cohomology modules …

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 𝔞 be an ideal of a commutative Noetherian local ring R and let M be a finitely generated
R-module. Let n be a positive integer such that the support of local cohomology module is …