BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2018
- DOI:
- 10.48550/arXiv.1811.10394
- arXiv:
- arXiv:1811.10394
- Bibcode:
- 2018arXiv181110394C
- Keywords:
-
- Mathematics - Rings and Algebras;
- 17D05;
- 17D10;
- 17A15