WEAKLY PRIME SUBMODULES AND PRIME SUBMODULES

摘要

A proper submodule N of an R-module M is called a weakly prime submodule, if for each submodule K of M and elements a, h of R, abK is contained in N, implies that aK is contained in N or bK is contained in N. In this paper we will study weakly prime submodules and we shall compare weakly prime submodules with prime submodules.