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

2018/11/26 by Chtioui, Taoufik, Mabrouk, Sami, Makhlouf, Abdenacer
#17A15 #17D05 #17D10 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1811.10394

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.

Related

• Construtions and bimodules of BiHom-alternative and BiHom-Jordan algebras
• BiHom-pre-alternative algebras and BiHom-alternative quadri-algebras
• BiHom-Akivis algebras
• Bimodules over Hom-Jordan and Hom-alternative algebras
• Structures and bimodules of simple Hom-alternative algebras