Jordan isomorphisms of triangular rings

Wong, Tsai-Lien

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

Jordan isomorphisms of triangular rings
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by Tsai-Lien Wong PDF

Proc. Amer. Math. Soc. 133 (2005), 3381-3388 Request permission

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, Brešar and Chebotar, and the one concerning Jordan isomorphisms of nest algebras by Lu.

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