A Lie algebra L is said to be minimal non supersolvable if all its subalgebras, except L itself, are supersolvable.
@article{urn:eudml:doc:38158, title = {Lie algebras all of whose subalgebras are supersolvable.}, journal = {Extracta Mathematicae}, volume = {1}, year = {1986}, pages = {20-21}, zbl = {0587.17006}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38158} }
Elduque Palomo, Alberto C.; Varea Agudo, Vicente R. Lie algebras all of whose subalgebras are supersolvable.. Extracta Mathematicae, Tome 1 (1986) pp. 20-21. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38158/