Abstract
In this article, the additivity of higher multiplicative mappings, i.e., Jordan mappings, on generalized matrix algebras are studied. Also, the definition of Jordan higher triple product homomorphism is introduced and its additivity on generalized matrix algebras is studied.
Highlights
Suppose that a ring has identity and commutative, and and are associative algebras on
We study the additivity property of them on generalized matrix algebras
The identity element of and by condition (2)
Summary
3. is said to be a Jordan Triple Product Homomorphism if [1]. Cheng and Jing [ 2] studied the linearity of multiplicative(Jordan)( triple) bijective map and elementary surjective map on triangular algebra. Shaheen [10 ] introduced the definition of higher multiplicative mapping and Jordan higher mapping and studied their additivity property on triangular matrix ring. Li and Jing [ ] studied the additive property of Jordan triple product homomorphism of prime ring. Motivated by the results of Li. and Jing [11 ] and Li. and Xiao [ 1 ], the authors in Kim and Park [ ] studied the additivity of Jordan -Triple product homomorphism from generalized matrix algebras. In this article , the definition of Jordan higher triple product homomorphism is introduced and its additivity on generalized matrix algebra is studied.
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