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 …

This work is about some features of local cohomology theory. We develop a new tool called
Mayer-Vietoris spectral sequence that allows us to study several local cohomology modules …

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 …

Let R be a commutative Noetherian ring, α an ideal of R, and M, N two finitely generated R-
modules. We prove that the generalized local cohomology modules Ht α (M, N) are α …

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 …

Let\mathfrak a,\mathfrak ba, b be ideals of a commutative Noetherian ring RR and let M, NM,
N be finite R R-modules. The concept of an\mathfrak a a-filter grade of\mathfrak bb on MM is …

Let a be an ideal of a commutative Noetherian ring R with non-zero identity and let N be a
weakly Laskerian R-module and M be a finitely generated R-module. Let t be a non …

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 show that if M is a finitely generated R-module, N is an I-stable semi-discrete linearly
compact R-module and G is a closed R-submodule of the generalized local homology …

Let $ R $ be a commutative Noetherian ring, and let $\mathfrak a $ be a proper ideal of $ R
$. Let $ M $ be a non-zero finitely generated $ R $-module with the finite projective …