THE CONSTRUCTION OF FRACTIONS OF Γ-MODULE OVER COMMUTATIVE Γ-RING

The aim of this paper is to construct fraction of a Γ-module over a commutative Γ-ring. There should be an appropriate set S of ele-ments in a Γ-ring R to be used as a Γ-module of fractions. Then we study the homomorphisms of a Γ-module which can lead to related basic results. We show that for every Γ-module M, S−1(0 :R M) = (0 :S−1R S−1M). Also, if M is a finitely generated RΓ-module, then S−1M is finitely gen-erated.