Let $R$ be a commutative Noetherian ring with non-zero identity,

fa$ and fb$ ideals of $R$ with fb subseteq fa , and M a

finitely generated $R$-module. In this paper, for a non-negative

integer ...

Let R be a commutative Noetherian ring with non-zero identity,

a and b ideals of R, and M a finitely generated

R-module. In this paper, for non-negative integers n and j,

we examine the question ...

Let R be a commutative Noetherian ring and a be an ideal of R such that cd(a,R) −

grade(a,R) ≤ 1, where cd(a,R) is the cohomological dimension of R with respect to

a and grade(a,R) is the grade of a. We show ...

Let R be a commutative ring and M be an R -module. There is a

canonical map mu_M : R longrightarrow mathrm{End}_R(M)

such that for r in R , mu_M(r) is the multiplication map by

r on M ...

Let (R,m) be a commutative Noetherian local ring with

non-zero identity, a a proper ideal of R and M a finitely

generated R-module with a M\\\\neq M. Let

D(-):=Hom_R(-,E) be the Matlis dual functor, ...

Let R be a commutative Noetherian ring with non-zero identity

and a an ideal of R. In the present paper, we examine the

question whether the support of H^n_a(N,M) must be closed in

Zariski topology, ...