Additivity of \(n\)-Multiplicative Mappings of Gamma Rings

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...

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Bibliographic Details
Published in:arXiv.org 2021-05
Main Authors: Aline Jaqueline de Oliveira Andrade, Gabriela Cotrim de Moraes, Ruth Nascimento Ferreira, Macedo Ferreira, Bruno Leonardo
Format: Article
Language:English
Subjects:
Isomorphism
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2107.02760