Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra

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.

Bibliographic Details
Main Authors: Aiat Hadj Ahmed Driss, Ben Yakoub l'Moufadal
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.2125
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spelling doaj-175bd4b99be2440a98c3ffd55f8e23192020-11-25T01:01:47ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005132125213210.1155/IJMMS.2005.2125Jordan automorphisms, Jordan derivations of generalized triangular matrix algebraAiat Hadj Ahmed Driss0Ben Yakoub l'Moufadal1Département de Mathématiques et Informatique, Faculté des Sciences, Université Abdelmalek Essaâdi, B.P. 2121, Tétouan, 93002, MoroccoDépartement de Mathématiques et Informatique, Faculté des Sciences, Université Abdelmalek Essaâdi, B.P. 2121, Tétouan, 93002, MoroccoWe 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.http://dx.doi.org/10.1155/IJMMS.2005.2125
collection DOAJ
language English
format Article
sources DOAJ
author Aiat Hadj Ahmed Driss
Ben Yakoub l'Moufadal
spellingShingle Aiat Hadj Ahmed Driss
Ben Yakoub l'Moufadal
Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
International Journal of Mathematics and Mathematical Sciences
author_facet Aiat Hadj Ahmed Driss
Ben Yakoub l'Moufadal
author_sort Aiat Hadj Ahmed Driss
title Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
title_short Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
title_full Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
title_fullStr Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
title_full_unstemmed Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
title_sort jordan automorphisms, jordan derivations of generalized triangular matrix algebra
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
description 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.
url http://dx.doi.org/10.1155/IJMMS.2005.2125
work_keys_str_mv AT aiathadjahmeddriss jordanautomorphismsjordanderivationsofgeneralizedtriangularmatrixalgebra
AT benyakoublmoufadal jordanautomorphismsjordanderivationsofgeneralizedtriangularmatrixalgebra
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