P-Modules and Related Concepts

Abstract

In this work, we introduce the concept of P-Module as a generalization of the concept Q-Module. Many characterizations and properties of P-Modules are obtained. We investigate conditions for P-Modules to be Q-Modules. Modules which are related to P-Modules are studied. Some classes of modules which are P-Modules are given. Furthermore, characterizations of P-Modules in some classes of modules are obtained.