Quasi-ideals of Leibniz algebras
Rings and Algebras
2020-04-09 v1 Group Theory
Abstract
A subspace H of a Leibniz algebra L is called a quasi-ideal if [H;K] + [K;H] \subseteq H + K for every subspace K of L. They include ideals and subalgebras of codimension one in L. Quasi-ideals of Lie algebras were classified in two remarkable papers of Amayo. The objective here is to extend those results to the larger class of Leibniz algebras, and to classify those Leibniz algebras in which every subalgebra is a quasi-ideal.
Cite
@article{arxiv.2004.04068,
title = {Quasi-ideals of Leibniz algebras},
author = {David A. Towers},
journal= {arXiv preprint arXiv:2004.04068},
year = {2020}
}