Additivity of Jordan Triple Product Homomorphisms on Generalized Matrix Algebras

Abstract

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.

On Additivity of Jordan Higher Mappings on Generalized Matrix Algebras

“…and Jing [11 ] and Li. and Xiao [ 1 ], the authors in Kim and Park [ 13 ] studied the additivity of Jordan -Triple product homomorphism from generalized matrix algebras. For more results about Jordan triple homomorphism, see [14,15].…”

“…In this article , the definition of Jordan higher triple product homomorphism is introduced and its additivity on generalized matrix algebra is studied. We use techniques similar to those used by Lu [ 7 ] and Kim and Park [13]. Throughout this article, let = .…”

Jordan triple homomorphisms on $${\mathcal {T}}_\infty (F)$$

“…It was proved that on some conditions the additivity may follow from (1), for instance in Kim and Park (2013) it is estalished that in the generalized matrix algebras all such bijective maps are additive.…”