Let (R, 𝔪) be a commutative Noetherian local ring, which is a homomorphic image of a
Gorenstein local ring and I an ideal of R. Let M be a nonzero finitely generated R-module …

COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY
MODULES Page 1 COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL …

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 …

Let (R, 𝔪) be a commutative Noetherian complete local ring and I be a proper ideal of R.
Suppose that M is a nonzero I-cofinite R-module of Krull dimension n. In this paper, it shown …

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 …

Abstract Let (R, m)(R, m) be a Noetherian local ring, I be an ideal of R, and M be a finitely
generated R-module such that H _I^ t (M) HI t (M) is Artinian and I-cofinite, where t= cd\,(I, M) …

Let R be a commutative Noetherian local ring, I an ideal of R, and let M be a non-zero finitely
generated R-module. In this paper, we establish some new properties of the local …

Let R be a commutative Noetherian ring, a an ideal of R and M a finitely generated R-
module. Let t be a non-negative integer. It is known that if the local cohomology module Hi a …

Let R be a commutative Noetherian local ring, I a proper ideal of R, M, and N finitely
generated R-modules. It is proved that f-depth (I+ Ann (M), N) is the least integer r such that …