Grading and Filtrations of Gamma Rings

Abstract

The aim of this paper is to introduce and study graded and filtered gamma rings and gamma modules. We prove that the filtered -ring (module) is a generalization of the notion of graded ring (module). Also, we construct a graded -ring from a filtered -ring. We investigate some properties of graded and fileterd Gamma rings and Gamma modules. Finally we define and study the strongly graded gamma rings.

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