SOME RESULTS ON TOP LOCAL COHOMOLOGY MODULES WITH RESPECT TO A PAIR OF IDEALS.

Let I and J be ideals of a Noetherian local ring (R,m) and let M be a nonzero finitely generated R-module. We study the relation between the vanishing of H_{I, J}^{dim M} (M) and the comparison of certain ideal topologies. Also, we characterize when the integral closure of an ideal relative to the Noetherian R-module M/JM is equal to its integral closure relative to the Artinian R-module H_{I, J}^{dim M} M. [ABSTRACT FROM AUTHOR]