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Bull. Korean Math. Soc. 2013; 50(6): 2027-2034

Printed November 1, 2013

https://doi.org/10.4134/BKMS.2013.50.6.2027

Copyright © The Korean Mathematical Society.

Additivity of Jordan triple product homomorphisms on generalized matrix algebras

Sang Og Kim and Choonkil Park

Hallym University, Hanyang University

Abstract

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In this article, it is proved that under some conditions every bijective Jordan triple product homomorphism from generalized matrix algebras onto rings is additive. As a corollary, we obtain that every bijective Jordan triple product homomorphism from $M_n(\Aa)$ ($\Aa$ is not necessarily a prime algebra) onto an arbitrary ring $\mc{R}'$ is additive.

Keywords: Jordan triple product homomorphism, generalized matrix algebra, additive map

MSC numbers: Primary 16W99, 47B47 47L35

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