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Additivity of Jordan triple product homomorphisms on generalized matrix algebras

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대한수학회 (The Korean Mathematical Society)|2013.11|대한수학회보 (Bulletin of the KMS)|제50권 제6호|pp. 2027-2034

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키워드

generalized matrix algebraJordan triple product homomorphismadditive map
주제분류수학

초록

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 Mn(A) (A is not necessarily a prime algebra) onto an arbitrary ring R′ is additive.

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 Mn(A) (A is not necessarily a prime algebra) onto an arbitrary ring R′ is additive.

참고문헌 (23)

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