ADDITIVITY OF JORDAN TRIPLE PRODUCT HOMOMORPHISMS ON GENERALIZED MATRIX ALGEBRAS

Title & Authors
ADDITIVITY OF JORDAN TRIPLE PRODUCT HOMOMORPHISMS ON GENERALIZED MATRIX ALGEBRAS
Kim, Sang Og; Park, Choonkil;

Abstract
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 $\small{M_n(\mathcal{A})}$ ($\small{\mathcal{A}}$ is not necessarily a prime algebra) onto an arbitrary ring $\small{\mathcal{R}^{\prime}}$ is additive.
Keywords
Jordan triple product homomorphism;generalized matrix algebra;additive map;
Language
English
Cited by
1.
Surjective Jordan maps and Jordan triple maps, Linear Algebra and its Applications, 2017, 535, 1
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