International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 13, Pages 2125-2132
doi:10.1155/IJMMS.2005.2125

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra.

Aiat Hadj Ahmed Driss and L'Moufadal Ben Yakoub

Département de Mathématiques et Informatique, Faculté des Sciences, Université Abdelmalek Essaâdi, B.P. 2121, Tétouan, 93002, Morocco

Abstract

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.