English

Abstract

Let $${\cal I}$$ be a set of ideals of a commutative Noetherian ring R. We use the notion of $${\cal I}$$-closure operation which is a semiprime closure operation on submodules of modules to introduce the class of $${\cal I}$$-Laskerian modules. This enables us to investigate the set of associated prime ideals of certain $${\cal I}$$-closed submodules of local cohomology modules.