ON HOM-LEIBNIZ AND HOM-LIE-YAMAGUTI SUPERALGEBRAS

Simple item page
AuteurATTAN, SYLVAIN
AuteurGAPARAYI, DONATIEN
AuteurISSA, ABDOU NOUROU
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2021
ResumeIn this paper some characterizations of Hom-Leibniz superalgebras are given and some of their basic properties are found. These properties can be seen as a generalization of corresponding well-known properties of Hom-Leibniz algebras. Considering the Hom-Akivis superalgebra associated to a given Hom-Leibniz superalgebra, it is observed that the Hom-super Akivis identity leads to an additional property of Hom-Leibniz superalgebras, which in turn gives a necessary and sufficient condition for Hom-super Lie admis- sibility of Hom-Leibniz superalgebras. We also show that every (left) Hom-Leibniz superalgebra has a natural super Hom-Lie-Yamaguti structure.
DOI10.7151/dmgaa.1361
Autre identifiantBECDB-13594
URIhttps://dspace.uac.bj/handle/123456789/11638
Languefr
Fait partie deDiscussiones Mathematicae, General Algebra and Applications
SujetHom-Leibniz superalgebras
SujetHom-Akivis superalgebras
SujetHom-Lie-Yamaguti superalgebras
TitreON HOM-LEIBNIZ AND HOM-LIE-YAMAGUTI SUPERALGEBRAS
TypeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
e439562506f6e488e2397a851de76c9f.pdf
Size:
158.09 KB
Format:
Adobe Portable Document Format
Download

Collections

Articles