• FREE AND COFREE GAMMA ACTS

Abstract

Let M be a Gamma Act over a Gamma semigroup S. In this paper, we investigate the notion of Free gamma acts and Cofree gamma acts and study some of their properties. Among other results we show that every gamma act is an epimorphic image of free gamma act. And any gamma act can be embedded in a cofree gamma act. As an applications of free and cofree gamma acts, we show that concept of monomorphism (epimorphosm)is coincides with injective (surjective) homomorphism in the category of gamma acts.