FP-Modules and Related Concepts

Abstract

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