We present various approaches to J. Herzog's theory of generalized local cohomology and
explore its main aspects, eg,(non-) vanishing results as well as a general local duality …

In this article, some results on vanishing and nonvanishing of generalized local cohomology
modules are presented and some relations between those modules and, Ext and ordinary …

Let 𝔞 be an ideal of a commutative Noetherian ring R and M and N two finitely generated R-
modules. Let cd𝔞 (M, N) denote the supremum of the i's such that. First, by using the theory …

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 be a commutative Noetherian ring with nonzero identity, 𝔞 an ideal of R, M a finite R–
module, X an arbitrary R–module, and na non-negative integer. Here, we show that, in the …

1 Introduction Page 1 East-West J. of Mathematics: Vol. 7, No 2 (2005) pp. 107-115 SOME
FINITE PROPERTIES OF GENERALIZED LOCAL COHOMOLOGY MODULES Nguyen Tu …

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 …

Let n and t be non-negative integers, R a commutative Noetherian ring with dim (R)≤ n+ 2,
a an ideal of R, M and N finite R-modules, and X an arbitrary R-module. We prove that if Ext …

We introduce a notion of generalized local cohomology modules with respect to a pair of
ideals (I, J) which is a generalization of the concept of local cohomology modules with …

Let (R, 𝔪) be a commutative Noetherian ring with identity and I be an ideal of R. Assume that
M is a finite R-module and L and N are minimax R-modules such that Supp R (L)⊆ V (I). In …