SOME GENERALIZATIONS OF SMALL PRIMARY MODULES

Abstract

In this research, a new concepts (D--small primary modules and semi - small primary module) has been presnted, which is a generalizations of a previously studied concept (small primary modules) and a comprehensive study of it in terms of features and properties. We have also given some examples and observations about them. Its relationship with previously studied concepts was studied, and the equivalence, under certain conditions, between these concepts and the new concepts was demonstrated.