Abstract: Let a be a proper ideal of a commutative Noetherian ring R of prime characteristic p and let Q(a) be the smallest positive integer m such that (aF)[pm]=a[pm], where aF is the Frobenius closure of a. This paper ...

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 ...

Let a be an almost complete intersection ideal of a

commutative Noetherian local ring R and r be the number of

elements of a minimal generating set of a. Suppose that the

i-th local cohomology module ...

In this talk we provide some isomorphisms of derived functors and local cohomology modules. Then we give some

applications of these isomorphisms in endomorphisms of local cohomology modules.

In this talk we study the presistace properties of certain set of monomial ideals. Also we introduce two classes of monomial ideals which satisfy in the presistace properties.

In this talk by using a natural generalization of regular sequences we study the finiteness properties of local cohomology modules.

On the Endomorphism Rings of Local Cohomology Modules

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 $R$ 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 ...