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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2125 |
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| _version_ | 1832563962178174976 |
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| author | Aiat Hadj Ahmed Driss Ben Yakoub l'Moufadal |
| author_facet | Aiat Hadj Ahmed Driss Ben Yakoub l'Moufadal |
| author_sort | Aiat Hadj Ahmed Driss |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-175bd4b99be2440a98c3ffd55f8e2319 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-175bd4b99be2440a98c3ffd55f8e23192025-02-03T01:12:09ZengWileyInternational 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 |
| 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 |
| title | 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_short | Jordan automorphisms, Jordan derivations of generalized
triangular matrix algebra |
| title_sort | jordan automorphisms jordan derivations of generalized triangular matrix algebra |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2125 |
| work_keys_str_mv | AT aiathadjahmeddriss jordanautomorphismsjordanderivationsofgeneralizedtriangularmatrixalgebra AT benyakoublmoufadal jordanautomorphismsjordanderivationsofgeneralizedtriangularmatrixalgebra |