On The Annihilators of Derived Functors of Local Cohomology Modules and Finiteness Dimension

摘要

Let R be a commutative Noetherian ring, M be a weakly Laskerian R-module and a 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 and, where for j ≥ 0, ?~jF(-) (respectively, ?_jT(-)) is the jth right (respectively, left) derived functor of F (respectively, T).