WE-primary submodules and WE-quasi-prime submodules

Abstract

In this paper we introduced and study two concepts one of is a subclass of a class of weakly primary submodules called WE-primary submodules and the other of a subclass of weakly quasi-prime submodules called WE-quasi-prime submodules. Several properties of WE-primary and WE- quasi - prime submodules have been given, and some characterizations of each type of submodules are introduced moreover behavior of these submodules in some classes of modules are investigated. On the otherhand, the homeorphic and inverse image of these concept under certain conditions are proved