Let R be a commutative Noetherian ring, I⊆ J be ideals of R and M be a finitely generated R-
module. In this paper it is shown that q (J, M)≤ q (I, M)+ cd (J, M/IM). Furthermore, it is shown …

Let 𝔞 be an ideal of a local ring (R, 𝔪) and M a finitely generated R-module. We investigate
the structure of the formal local cohomology modules, i≥ 0. We prove several results …

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, 𝔪) be a commutative Noetherian local ring, let I be an ideal of R and let M and N be
finitely generated R-modules. Assume that,. First, we give the formula for the attached …

We establish the global analogues of some dualities and equivalences in local algebra by
developing the theory of relative Cohen–Macaulay modules. Let R be a commutative …

The Artinianness Of Formal Local Cohomology Modules Page 1 The Artinianness Of Formal
Local Cohomology Modules Yan Gu Department of Mathematics, Soochow University, Suzhou …

Let R be a commutative Noetherian ring with non-zero identity and I be an ideal of R. Let M
and N be two finitely generated R-modules. In this paper it is shown that, if \rmcd(I,R)≦1 and …

In this paper we study certain properties of generalized local cohomology modules with
respect to a Serre class. We have proved that the membership of the generalized local …

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 …

Let $ R $ be a commutative Noetherian ring with non-zero identity and $\fa $ an ideal of $ R
$. Let $ M $ be a finite $ R $--module of of finite projective dimension and $ N $ an arbitrary …