On the Endomorphism Rings of Local Cohomology Modules...

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 ...

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 ...