ON THE ANNIHILATORS OF DERIVED FUNCTORS OF LOCAL COHOMOLOGY MODULES AND FINITENESS DIMENSION

Let R be a commutative Noetherian ring, M be a weakly Laskerian R-module and alpha be an ideal of R. Moreover, suppose that F and T are two covariant R-linear functors such that for each R-module L, F(L) and T(L) are b-torsion for some ideal b of R containing a. In this article, we study the annihilators of the R-modules (RF)-F-j(H-a(i)(M)) and LjTHai(M)), where for j >= 0, (RF)-F-j(-) (respectively, LjT(-)) is the jth right (respectively, left) derived functor of F (respectively, T).