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http://hdl.handle.net/10662/18268
| Títulos: | Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras |
| Autores/as: | Chtioui, T. Mabrouk, S. Makhlouf, A. |
| Palabras clave: | Hom-Jordan algebra;Hom-pre-Jordan algebra;Hom-J-dendriform algebra;O-operator |
| Fecha de publicación: | 2023 |
| Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
| Resumen: | The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras. Hom-pre-Jordan algebras are regarded as the underlying algebraic structures of the Hom-Jordan algebras behind the Rota-Baxter operators and O-operators introduced in this paper. Hom-pre-Jordan algebras are also analogues of Hom-pre-Lie algebras for Hom-Jordan algebras. The anti-commutator of a Hom-pre-Jordan algebra is a Hom-Jordan algebra and the left multiplication operator gives a representation of a Hom-Jordan algebra. On the other hand, a Hom-J-dendriform algebra is a Hom-Jordan algebraic analogue of a Hom-dendriform algebra such that the anti-commutator of the sum of the two operations is a Hom-pre-Jordan algebra. |
| URI: | http://hdl.handle.net/10662/18268 |
| ISSN: | 0213-8743 |
| DOI: | 10.17398/2605-5686.38.1.27 |
| Colección: | Extracta Mathematicae Vol. 38, nº 1 (2023) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_38_1_27.pdf | 354,38 kB | Adobe PDF | Descargar |
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