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.

Let R be a commutative Noetherian ring, M be a finitely

generated R -module and fa be an ideal of R such that fa

M neq M. We show among the other things that, if c is a

non-negative integer such ...