cohomology module

Hia(M;N) is weakly Laskerian for all i < r. Then we prove that HomR(R-a;Hra(M;N))

is also weakly Laskerian and so Ass(Hra(M;N)) is finite. Moreover, we show that if s is

a non-negative integer such that Extj...

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

In this talk we are going to mention some results about the Artinianness of local

cohomology modules of Matlis reflexive modules. Also, we give some lower and

upper bounds for the cohomological dimension of ...

that prod_{i+j=n}(0:_R T{Ext}^i_R(R/ fa,H^j_ fb(M))) subseteq

(0:_R T{Ext}^n_R(R/ fa,M)), where H^j_ fb(M) is the j th

local cohomology module of M with respect to fb . This implies

that there exists a positive integer ell...

On the Endomorphism Rings of Local Cohomology Modules...

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 H^i_a(R) is finitely...

In this note, we provide a short argument which corrects flaws

in the mentioned article.

In this paper, we establish Noetherian properties for local cohomology modules Hna (M)

in several cases. For instance, we obtain a new version of the Lichtenbaum{Hartshorne

Vanishing Theorem....

In this article, by using the theory of Gorenstien dimension, we study the uniform annihilation theorem for local cohomology modules over a (not necessary finite dimensional) Noetherian Gorenstein ring....

Let R be a commutative Noetherian complete local ring, I an ideal of R, and M, N

Matlis reflexive R-modules such that Supp N ⊆ V I . In this note, among other things,

we show that Exti

R N Hj

I ...