Additivity of $n$-Multiplicative Mappings of Gamma Rings

Published 24 May 2021 in math.RA | (2107.02760v1)

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

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