English

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

Rings and Algebras 2018-11-27 v1

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.

Keywords

Cite

@article{arxiv.1811.10394,
  title  = {BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras},
  author = {Taoufik Chtioui and Sami Mabrouk and Abdenacer Makhlouf},
  journal= {arXiv preprint arXiv:1811.10394},
  year   = {2018}
}