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arXiv · 2107.02760

Additivity of $n$-Multiplicative Mappings of Gamma Rings

Aline Jaqueline de Oliveira Andrade·Gabriela Cotrim de Moraes·Ruth Nascimento Ferreira·Bruno Leonardo Macedo Ferreira
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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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Aline Jaqueline de Oliveira Andrade, Gabriela Cotrim de Moraes, Ruth Nascimento Ferreira, Bruno Leonardo Macedo Ferreira. 2021-05-24. Additivity of $n$-Multiplicative Mappings of Gamma Rings. https://doi.org/10.1007/s13370-021-00918-1

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