Binary perm algebras and alternative algebras
Rings and Algebras
2024-10-08 v2
Abstract
In this paper, we describe the defining identities of a variety of binary perm algebras, which is a subvariety of the variety of alternative algebras. In addition, we construct a basis of the free binary perm algebra and find a complete list of identities which satisfy binary perm algebra under commutator.
Cite
@article{arxiv.2309.09503,
title = {Binary perm algebras and alternative algebras},
author = {A. Kunanbayev and B. K. Sartayev},
journal= {arXiv preprint arXiv:2309.09503},
year = {2024}
}