On 2-Primal Modules

In this paper, the concept of $2$-primal modules is introduced. We show that the implications between rings which are reduced, IFP, symmetric and $2$-primal are preserved whenthe notions are extended to modules. Like for rings, for $2$-primal modules, prime submodules coincide with completely prime submodules. We prove that if$M$ is a quasi-projective and finitely generated right $R$-module which is a self-generator, then $M$ is $2$-primal if and only if $S =$End$_{R}(M$) is $2$-primal. Some properties of $2$-primal modules are also investigated.