On Vanishing of Generalized Local Cohomology Modules Page 1 Algebra Colloquium c© 2005
AMSS CAS & SUZHOU UNIV Algebra Colloquium 12:2 (2005) 213–218 On Vanishing of …

A Unified Approach to Local Cohomology Modules using Serre Classes Page 1 Canad. Math.
Bull. Vol. 53 (4), 2010 pp. 577–586 doi:10.4153/CMB-2010-064-0 c©Canadian Mathematical …

Let R be a commutative Noetherian ring and M a finitely generated R-module. We show in
this paper that, for an integer t, if the local cohomology module Hai (M) with respect to an …

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 𝔞 be an ideal of a commutative Noetherian ring R with identity and let M and N be two
finitely generated R-modules. Let t be a positive integer. It is shown that is contained in the …

Let R=\mathop ⊕ i\underline> 0 R_ i be a homogeneous Noetherian ring with local base
ring (R 0, m 0) and let M, N be two finitely generated graded R-modules. Let H^ i _ R+\left …

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 a be an ideal of a commutative Noetherian ring R and M a finitely generated R-module.
We explore the behavior of the two notions fa (M), the finiteness dimension of M with respect …

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 …

Chapter 6 Associated Primes of the Local Cohomology Modules Mohammad T. Dibaei
Department of Mathematics, Teacher Training University, Tehran, Iran, and Institute for …