Modularity conditions in Leibniz algebras
Rings and Algebras
2023-05-26 v1 Group Theory
Abstract
In this paper we continue the study of the subalgebra lattice of a Leibniz algebra. In particular, we find out that solvable Leibniz algebras with an upper semi-modular lattice are either almost-abelian or have an abelian ideal spanned by the elements with square zero. We also study Leibniz algebras in which every subalgebra is a weak quasi-ideal, as well as modular symmetric Leibniz algebras.
Cite
@article{arxiv.2305.15530,
title = {Modularity conditions in Leibniz algebras},
author = {Pilar Páez-Guillán and Salvatore Siciliano and David A. Towers},
journal= {arXiv preprint arXiv:2305.15530},
year = {2023}
}