Additivity of $n$-Multiplicative Mappings of Gamma Rings
Aline Jaqueline de Oliveira Andrade, Gabriela Cotrim de Moraes, Ruth Nascimento Ferreira, Bruno Leonardo Macedo Ferreira
Abstract
Aline Jaqueline de Oliveira Andrade, Gabriela Cotrim de Moraes, Ruth Nascimento Ferreira, Bruno Leonardo Macedo Ferreira
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 $Γ$-ring satisfying the some conditions, then any $n$-multiplicative isomorphism $\left(φ, ϕ\right)$ of $\M$ onto an arbitrary gamma ring is additive.
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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 $Γ$-ring satisfying the some conditions, then any $n$-multiplicative isomorphism $\left(φ, ϕ\right)$ of $\M$ onto an arbitrary gamma ring is additive.
Key concepts: Multiplicative function, Additive function, Isomorphism (crystallography), Ring (chemistry), Mathematics, Pure mathematics, Combinatorics, Discrete mathematics