Let ( R,m ) be a commutative Noetherian local ring with non-zero identity, a an ideal of R and M a finitely generated R-module with aM≠M . Let D(–) := Hom R (–, E) be the Matlis dual functor, where E:=E(R/m) is the injective hull of the residue...

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, where

E...

Abstract. Let R be a commutative Noetherian ring and a a proper ideal of R. We show that if n :=

gradeR a, then EndR(Hn

a (R)) ∼ = Ext

n

R(Hn

a (R), R). We also prove that, for a nonnegative ...