[PDF][PDF] Some homological properties of generalized local cohomology modules
Let R be a commutative Noetherian ring with identity, I be an ideal of R and M, N be two R-
modules. Throughout this paper, we denote by idR M and fdR M the injective dimension and …
modules. Throughout this paper, we denote by idR M and fdR M the injective dimension and …
Generalized Local Cohomology Relative to (I, J).
N Zamani - Southeast Asian Bulletin of Mathematics, 2011 - search.ebscohost.com
Let R be a commutative Noetherian ring and I, J be ideals of R. Let M, N be two R-modules.
For an integer i≥ 0, we define the i-th generalized local cohomology module H< sub> I, J< …
For an integer i≥ 0, we define the i-th generalized local cohomology module H< sub> I, J< …
On the finiteness property of generalized local cohomology modules
K Khashyarmanesh, M Yassi - Algebra Colloquium, 2005 - World Scientific
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 …
modules. Let be the-finiteness dimension of N. In this paper, among other things, we show …
Cohomological dimension of generalized local cohomology modules
J Amjadi, R Naghipour - Algebra Colloquium, 2008 - World Scientific
The study of the cohomological dimension of algebraic varieties has produced some
interesting results and problems in local algebra. Let 𝔞 be an ideal of a commutative …
interesting results and problems in local algebra. Let 𝔞 be an ideal of a commutative …
[HTML][HTML] On the Local Cohomology and Formal Local Cohomology Modules
S Rezaei, B Sadeghi - Kyungpook Mathematical Journal, 2023 - kmj.knu.ac.kr
Let 𝔞 and 𝔟 be ideals of a commutative Noetherian ring R and M be a finitely generated R-
module of dimension d> 0. We prove some results concerning the top local cohomology and …
module of dimension d> 0. We prove some results concerning the top local cohomology and …
On the vanishing properties of local cohomology modules defined by a pair of ideals
As a generalization of the ordinary local cohomology modules, recently some authors
introduced the local cohomology modules with respect to a pair of ideals. In this paper, we …
introduced the local cohomology modules with respect to a pair of ideals. In this paper, we …
A note on the Artinianness and vanishing of local cohomology and generalized local cohomology modules
K Khashyarmanesh, F Khosh-Ahang - Algebra Colloquium, 2009 - World Scientific
The first part of this paper is concerned with the Artinianness of certain local cohomology
modules when M is a Matlis reflexive module over a commutative Noetherian complete local …
modules when M is a Matlis reflexive module over a commutative Noetherian complete local …
[PDF][PDF] On the associated primes of the d-local cohomology modules
This paper is concerned to relationship between the sets of associated primes of the $ d $-
local cohomology modules and the ordinary local cohomology modules. Let $ R $ be a …
local cohomology modules and the ordinary local cohomology modules. Let $ R $ be a …
General Local Cohomology Modules with Small Dimensions
NM Tri, BTH Cam - Vietnam Journal of Mathematics, 2024 - Springer
Let Φ be a system of ideals of a noetherian ring R and M a finitely generated R-module. We
introduce the notion n-depth (Φ, M) and show that inf {i| dim Supp RH Φ i (M)> n}= n-depth …
introduce the notion n-depth (Φ, M) and show that inf {i| dim Supp RH Φ i (M)> n}= n-depth …
On the vanishing and the finiteness of supports of generalized local cohomology modules
NT Cuong, N Van Hoang - manuscripta mathematica, 2008 - Springer
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 …
modules. The first result of this paper is to prove a vanishing theorem for generalized local …