RESULTS ON LOCAL COHOMOLOGY OF WEAKLY LASKERIAN MODULES

Let R be a commutative Noetherian ring, a be an ideal of R and M be an arbitrary R-module. In this paper, among other things, we show that if, for a non-negative integer t, the R-module Ext(R)(t) (R/a, M) is weakly Laskerian and H-a(i) (M) is a-weakly cofinite for all i < t, then, for any weakly Laskerian submodule U of H-a(t) (M), the R-module Hom(R)(R/a, H-a(t) (M)/U) is weakly Laskerian. As a consequence the set of associated primes of H-a(t) (M)/U is finite.