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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/607| On K-B Quasi-Jordan Algebras and Their Relation With Leibniz Algebras | |
| LAZARO RAUL FELIPE PARADA | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| Anillos Algebras de Jordan | |
| In this paper we show some basic properties of quasi-Jordan alge- bras and we study the definition of Leibniz-Jordan algebra introduced by P. Kolesnikov and restrictive quasi-Jordan algebras introduced by M. R. Bremner. We show that these definitions are equivalent and we define K-B quasi-Jordan algebras. We present a characterization of K-B quasi- Jordan algebras by Jordan bimodules and construct right units over a K-B quasi-Jordan algebras. On the other hand, we prove that there are inner derivations (classical and left derivations) in K-B quasi-Jordan algebras, we find the relationship between K-B quasi-Jordan algebras and Leibniz algebras and we construct Leibniz algebras from K-B quasi-Jordan algebras. | |
| Centro de Investigación en Matemáticas AC | |
| 15-12-2010 | |
| Reporte | |
| Inglés | |
| Investigadores | |
| CAMPOS, ANILLOS, ÁLGEBRAS | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Reportes Técnicos - Matemáticas |
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