BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras

Taoufik Chtioui; Sami Mabrouk; Abdenacer Makhlouf

doi:10.1216/rmj.2020.50.69

Abstract

The purpose of this paper is to introduce and study BiHom-alternative algebras and BiHom-Malcev algebras. It is shown that BiHom-alternative algebras are BiHom-Malcev admissible and BiHom-Jordan admissible. Moreover, BiHom-type generalizations of some well known identities in alternative algebras, including the Moufang identities, are obtained.

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Taoufik Chtioui. Sami Mabrouk. Abdenacer Makhlouf. "BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras." Rocky Mountain J. Math. 50 (1) 69 - 90, Febuary 2020. https://doi.org/10.1216/rmj.2020.50.69

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Received: 13 February 2019; Revised: 12 August 2019; Accepted: 14 August 2019; Published: Febuary 2020

First available in Project Euclid: 30 April 2020

zbMATH: 07201555

MathSciNet: MR4092545

Digital Object Identifier: 10.1216/rmj.2020.50.69

Subjects:

Primary: 17A15 , 17D05 , 17D10

Keywords: BiHom-alternative algebra , BiHom-Jordan algebra , BiHom-Jordan-admissible algebra , BiHom-Malcev algebra , BiHom-Malcev-admissible algebra , BiHom-Moufang identity

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