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arXiv · 0812.2934

n-Jordan homomorphisms

M. Eshaghi Gordji
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Abstract

Let $n\in \Bbb N,$ and let $A,B$ be two rings. An additive map $h: A\to B$ is called n-Jordan homomorphism if $h(a^n)=(h(a))^n$ for all $a \in {A}$. Every Jordan homomorphism is an n-Jordan homomorphism, for all $n\geq 2,$ but the converse is false, in general. In this paper we investigate the n-Jordan homomorphisms on Banach algebras. Indeed some results related to continuity are given as well.

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BibTeXRIS

M. Eshaghi Gordji. 2008-12-15. n-Jordan homomorphisms. https://arxiv.org/abs/0812.2934

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