Approximately Projective Modeles and The Endomorphism Ring of Approximately Projective Models

Abstract

As a generalization to the concept of projective modules, we introduce the concept of approximately projective modules. We also give characterization of this concept and discuss some properties of this type of modules. In this paper we study the endomorphism ring of approximately projective and some results. We introduce the concept of approximately-small submodules of an R-module M and some properties of this concept.