Open AccessHom-Hyporeductive Triple Algebras
Author(s) -
Sylvain Attan,
AUTHOR_ID,
Donatien Gaparayi,
AUTHOR_ID
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.