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Jordan isomorphisms of triangular rings
Author(s):
Tsai-Lien
Wong
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3381-3388.
MSC (2000):
Primary 47L35;
Secondary 16S50
Posted:
June 7, 2005
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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:
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
Posted:
June 7, 2005
Additional Notes:
This research was supported by NSC Grants NSC 91-2115-M-110-005
Communicated by:
David R. Larson
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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