Affiliation:
1. Institut de Recherche Mathématique Avancée, UMR 7501 Université de Strasbourg et CNRS Strasbourg France
2. Departamento de Matemáticas, Esc. Sup. de Enx. Informática Campus de Ourense CITMAga & Universidade de Vigo Ourense Spain
Abstract
AbstractWe prove that if, for a non‐trivial variety of non‐associative algebras, every subalgebra of every free algebra is free and is an ideal whenever is an ideal, then this variety coincides with the variety of all Lie algebras.
Funder
Institut Universitaire de France
Agence Nationale de la Recherche
Ministerio de Ciencia e Innovación
Fonds Wetenschappelijk Onderzoek