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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Jordan isomorphisms of triangular rings


Author: Tsai-Lien Wong
Journal: Proc. Amer. Math. Soc. 133 (2005), 3381-3388
MSC (2000): Primary 47L35; Secondary 16S50
Published electronically: June 7, 2005
MathSciNet review: 2161163
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Abstract | References | Similar Articles | Additional Information

Abstract: We investigate Jordan isomorphisms of triangular rings and give a sufficient condition under which they are necessarily isomorphisms or anti-isomorphisms. As corollaries we obtain generalizations of two recent results: the one concerning Jordan isomorphisms of triangular matrix algebras by Beidar, Bresar and Chebotar, and the one concerning Jordan isomorphisms of nest algebras by Lu.


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Additional Information

Tsai-Lien Wong
Affiliation: Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan, 804
Email: tlwong@math.nsysu.edu.tw

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07989-X
PII: S 0002-9939(05)07989-X
Keywords: Jordan isomorphisms, triangular rings, triangular matrix algebras, nest algebras
Received by editor(s): June 29, 2004
Published electronically: June 7, 2005
Additional Notes: This research was supported by NSC Grants NSC 91-2115-M-110-005
Communicated by: David R. Larson
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.