Hom-Jordan and Hom-alternative bimodules

In this paper, Hom-Jordan and Hom-alternative bimodules are introduced. It is shown that Jordan and alternative bimodules are twisted via endomorphisms into Hom-Jordan and Hom-alternative bimodules respectively. Some relations between Hom-associative bimodules, Hom-Jordan and Hom-alternative bimodu...

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Main Authors: S. Attan, H. Hounnon, B. Kpamegan
Format: Article
Language:English
Published: University of Extremadura 2020-06-01
Series:Extracta Mathematicae
Subjects:
Online Access:https://publicaciones.unex.es/index.php/EM/article/view/122
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spelling doaj-f0cae3d1ffe14afe83dd6c6ed4b43a432021-02-02T17:21:36ZengUniversity of ExtremaduraExtracta Mathematicae0213-87432605-56862020-06-01351Hom-Jordan and Hom-alternative bimodulesS. Attan0H. Hounnon1B. Kpamegan2Département de Mathématiques, Université d’Abomey-Calavi 01 BP 4521, Cotonou 01, BéninDépartement de Mathématiques, Université d’Abomey-Calavi 01 BP 4521, Cotonou 01, BéninDépartement de Mathématiques, Université d’Abomey-Calavi 01 BP 4521, Cotonou 01, Bénin In this paper, Hom-Jordan and Hom-alternative bimodules are introduced. It is shown that Jordan and alternative bimodules are twisted via endomorphisms into Hom-Jordan and Hom-alternative bimodules respectively. Some relations between Hom-associative bimodules, Hom-Jordan and Hom-alternative bimodules are given. https://publicaciones.unex.es/index.php/EM/article/view/122Bimodulesalternative algebrasJordan algebrasHom-alternative algebrasHom-Jordan algebrasHom-associative algebras.
collection DOAJ
language English
format Article
sources DOAJ
author S. Attan
H. Hounnon
B. Kpamegan
spellingShingle S. Attan
H. Hounnon
B. Kpamegan
Hom-Jordan and Hom-alternative bimodules
Extracta Mathematicae
Bimodules
alternative algebras
Jordan algebras
Hom-alternative algebras
Hom-Jordan algebras
Hom-associative algebras.
author_facet S. Attan
H. Hounnon
B. Kpamegan
author_sort S. Attan
title Hom-Jordan and Hom-alternative bimodules
title_short Hom-Jordan and Hom-alternative bimodules
title_full Hom-Jordan and Hom-alternative bimodules
title_fullStr Hom-Jordan and Hom-alternative bimodules
title_full_unstemmed Hom-Jordan and Hom-alternative bimodules
title_sort hom-jordan and hom-alternative bimodules
publisher University of Extremadura
series Extracta Mathematicae
issn 0213-8743
2605-5686
publishDate 2020-06-01
description In this paper, Hom-Jordan and Hom-alternative bimodules are introduced. It is shown that Jordan and alternative bimodules are twisted via endomorphisms into Hom-Jordan and Hom-alternative bimodules respectively. Some relations between Hom-associative bimodules, Hom-Jordan and Hom-alternative bimodules are given.
topic Bimodules
alternative algebras
Jordan algebras
Hom-alternative algebras
Hom-Jordan algebras
Hom-associative algebras.
url https://publicaciones.unex.es/index.php/EM/article/view/122
work_keys_str_mv AT sattan homjordanandhomalternativebimodules
AT hhounnon homjordanandhomalternativebimodules
AT bkpamegan homjordanandhomalternativebimodules
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