Some identities between local cohomology modules

Some identities between local cohomology modules

In this paper, we get some identities between extension functors of local cohomology modules, Let R be a Noetherian ring, I and J two ideals of R, M an R-module and it an integer, Let N be a finitely generated -torsion R-module. It is shown that Home(N.H. (M)) = Ext(N.M) = Home(N. H. (M)) = H(N.M), whenever H(M) = 0 for all i