Uniformly Classical Quasi-Primary Submodules

In this paper we introduce the notions of uniformly quasi-primary ideals and uniformly classical quasi-primary submodules that generalize the concepts of uniformly primary ideals and uniformly classical primary submodules; respectively. several characterizations of classical quasi-primary and uniformly classical quasi-primary submodules are given. then we investigate for a ring r, when any nite intersection of (uniformly) primary submodules of any r-module is a (uniformly) classical quasi-primary submodule. furthermore, the behavior of classical quasi-primary and uniformly classical quasi-primary submodules under localizations are studied. also, we investigate the existence of (minimal) primary submodules containing classical quasi-primary submodules.