2021arXiv (Cornell University)Open access

Additivity of $n$-Multiplicative Mappings of Gamma Rings

Aline Jaqueline de Oliveira Andrade, Gabriela Cotrim de Moraes, Ruth Nascimento Ferreira, Bruno Leonardo Macedo Ferreira

Open full text 0 citations

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.

About this research paper

What this paper is about

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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Multiplicative function, Additive function, Isomorphism (crystallography), Ring (chemistry), Mathematics, Pure mathematics, Combinatorics, Discrete mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
Additivity of $n$-Multiplicative Mappings of Gamma Rings — Research Paper | ScholarLens