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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/931| Quasi-Jordan Algebras | |
| LAZARO RAUL FELIPE PARADA | |
| Acceso Abierto | |
| Atribución-NoComercial-CompartirIgual | |
| Algebras de Jordan | |
| In this article we introduce a new algebraic structure of Jordan type and we show several examples. This new structure, called “quasi-Jordan algebras,” appears in the study of the product x y = 1 2 x y + y x where x y are elements in a dialgebra D . The quasi-Jordan algebras are a generalization of Jordan algebras where the commutative law is changed by a quasicommutative identity and a special form of the Jordan identity is retained. We show a few results about the relationship between Jordan algebras and quasi-Jordan algebras. Also, we compare quasi-Jordan algebras with some structures. In particular, we find a special relation with Leibniz algebras. We attach a quasi-Jordan algebra to any ad-nilpotent element of index of nilpotence at most 3 in a Leibniz algebra. | |
| Taylor & Francis | |
| 2008 | |
| Artículo | |
| Inglés | |
| Investigadores | |
| ÁLGEBRAS NO ASOCIATIVAS | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Matemáticas |
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| RFelipe1.pdf | 307.32 kB | Adobe PDF | Visualizar/Abrir |