Some Generalizations of Semisimple Gamma Rings
Semisimple Gamma Module
Multiplication Gamma Module
Duo Gamma Module
Fully Idempotent Gamma Module
Regular Gamma Module.
In this paper we introduce and study the concepts of semisimple gamma modules , regular gamma modules and fully idempotent gamma modules as a generalization of semisimple ring. An module is called fully idempotent (semisimple , regular) if for all submodule of (every submodule is a direct summand, for each , there exists and such that . We study some properties and relationships between them.