Hom-Lie Triple System and Hom-Bol Algebra Structures on Hom-Maltsev and Right Hom-Alternative Algebras

Every multiplicative Hom-Maltsev algebra has a natural multiplicative Hom-Lie triple system structure. Moreover, there is a natural Hom-Bol algebra structure on every multiplicative Hom-Maltsev algebra and on every multiplicative right (or left) Hom-alternative algebra.

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Veröffentlicht in:International journal of mathematics and mathematical sciences 2018, Vol.2018 (2018), p.1-12
Hauptverfasser: Attan, Sylvain, Issa, A. Nourou
Format: Artikel
Sprache:eng
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Zusammenfassung:Every multiplicative Hom-Maltsev algebra has a natural multiplicative Hom-Lie triple system structure. Moreover, there is a natural Hom-Bol algebra structure on every multiplicative Hom-Maltsev algebra and on every multiplicative right (or left) Hom-alternative algebra.
ISSN:0161-1712
1687-0425
DOI:10.1155/2018/4528685