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