Hom-Hyporeductive Triple Algebras | Zendy

Sylvain Attan | Zendy; Donatien Gaparayi | Zendy

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Hom-Hyporeductive Triple Algebras

Author(s) -

Sylvain Attan,

Donatien Gaparayi

Publication year - 2021

Publication title -

journal of mathematical sciences advances and applications

Language(s) - English

Resource type - Journals

ISSN - 0974-5750

DOI - 10.18642/jmsaa_7100122199

Subject(s) - ternary operation , generalization , mathematics , pure mathematics , nest algebra , non associative algebra , morphism , binary number , triple bond , interior algebra , lie algebra , algebra over a field , lie conformal algebra , computer science , arithmetic , physics , mathematical analysis , double bond , nuclear magnetic resonance , programming language

Hom-hyporeductive triple algebras are defined as a twisted generalization of hyporeductive triple algebras. Hom-hyporeductive triple algebras generalize right Hom-Lie-Yamaguti and right Hom-Bol algebras as the same way as hyporeductive triple algebras generalize right Lie-Yamaguti and right Bol algebras. It is shown that the category of Hom-hyporeductive triple algebras is closed under the process of taking nth derived binary-ternary Hom-algebras and by self-morphisms of binary-ternary algebras. Some examples of Hom-hyporeductive triple algebras are given.

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