Jordan isomorphisms of triangular rings

Wong, Tsai-Lien

doi:10.1090/S0002-9939-05-07989-X

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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
Posted: June 7, 2005
MathSciNet review: 2161163
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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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