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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra. (English) Zbl 1079.16017

Summary: We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan derivation on such an algebra is a derivation.

MSC:

16W20 Automorphisms and endomorphisms
16W25 Derivations, actions of Lie algebras
16S50 Endomorphism rings; matrix rings
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
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