Additivity of n-multiplicative mappings of gamma rings

Abstract

In this paper, we address the additivity of n-multiplicative isomorphisms and n-multiplicative derivations on gamma rings. We proved that, if \({{\mathfrak {M}}}\, \) is a \(\Gamma \)-ring satisfying some conditions, then any n-multiplicative isomorphism \(\left( \varphi , \phi \right) \) of \({{\mathfrak {M}}}\, \) onto an arbitrary gamma ring is additive.