RT Journal Article T1 A characterisation of Lie algebras using ideals and subalgebras A1 Dotsenko, Vladimir A1 García Martínez, Xabier K1 12 Matemáticas K1 1201 Álgebra AB 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. PB Bulletin of the London Mathematical Society SN 00246093 YR 2024 FD 2024-07 LK http://hdl.handle.net/11093/7896 UL http://hdl.handle.net/11093/7896 LA eng NO Bulletin of the London Mathematical Society, 56(7): 2408-2423 (2024) NO Agencia Estatal de Investigación | Ref. PID2021-127075NA-I00 DS Investigo RD 26-mar-2025