Unary and binary Leibniz algebras
Rings and Algebras
2020-10-27 v1
Abstract
An algebra is said to be a unary Leibniz algebra if every one-generated subalgebra is a Leibniz algebra. An algebra is said to be a binary Leibniz algebra if every two-generated subalgebra is a Leibniz algebra. We give characterizations of unary and binary Leibniz algebras in terms of identities.
Cite
@article{arxiv.2010.12936,
title = {Unary and binary Leibniz algebras},
author = {N. A. Ismailov and A. S. Dzhumadil'daev},
journal= {arXiv preprint arXiv:2010.12936},
year = {2020}
}