A characterisation of Lie algebras using ideals and subalgebras

Dotsenko, Vladimir; García Martínez, XabierAutor UVIGO
DATA: 2024-07
IDENTIFICADOR UNIVERSAL: http://hdl.handle.net/11093/7896
VERSIÓN EDITADA: https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/blms.13062
MATERIA UNESCO: 12 Matemáticas ; 1201 Álgebra
TIPO DE DOCUMENTO: article

RESUMO

We 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.
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