On the Bar-radical of Jordan Baric Algebras |
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| Authors: | J. C. M. Ferreira H. Guzzo Jr. |
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| Affiliation: | 1. Centro de Matemática, Computa??o e Cogni??o, Universidade Federal do ABC, BR-09210-170, Santo André, Brazil
2. Instituto de Matemática e Estatística, Universidade de S?o Paulo, Rua do Mat?o, 1010, BR-05508-090, S?o Paulo, Brazil
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| Abstract: | In this paper, we prove that if (U, w) is a finite dimensional Jordan baric algebra such that  then,  , where R(U) is the nilradical (maximal nil ideal) of U. We also give conditions so that  and an example showing that such conditions are necessary. Received: May 2, 2005. Revised: October 22, 2006. |
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| Keywords: | Primary 17D92 |
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