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http://hdl.handle.net/10662/18268
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Campo DC | Valor | idioma |
---|---|---|
dc.contributor.author | Chtioui, T. | - |
dc.contributor.author | Mabrouk, S. | - |
dc.contributor.author | Makhlouf, A. | - |
dc.date.accessioned | 2023-08-29T07:27:22Z | - |
dc.date.available | 2023-08-29T07:27:22Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/18268 | - |
dc.description.abstract | 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. | es_ES |
dc.format.extent | 24 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
dc.rights | Attribution-NonCommercial 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Hom-Jordan algebra | es_ES |
dc.subject | Hom-pre-Jordan algebra | es_ES |
dc.subject | Hom-J-dendriform algebra | es_ES |
dc.subject | O-operator | es_ES |
dc.title | Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202.01 Álgebra de Operadores | es_ES |
dc.subject.unesco | 1201.12 Álgebras no Asociativas | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | Chtioui, T., Mabrouk, S., & Makhlouf, A. (2023). Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras. Extracta Mathematicae, 38(1), 27-50.E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Université de Sfax. Túnez | es_ES |
dc.contributor.affiliation | Université de Haute-Alsace. France | - |
dc.contributor.affiliation | Gafsa University. Túnez | - |
dc.relation.publisherversion | https://publicaciones.unex.es/index.php/EM/article/view/2605-5686.38.1.27 | es_ES |
dc.identifier.doi | 10.17398/2605-5686.38.1.27 | - |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 27 | es_ES |
dc.identifier.publicationlastpage | 50 | es_ES |
dc.identifier.publicationvolume | 1 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 38, nº 1 (2023) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_38_1_27.pdf | 354,38 kB | Adobe PDF | Descargar |
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