## On solvable Lie algebras.(Russian)Zbl 0166.04104

Translation from the Russian: The author studies the structure of solvable Lie algebras $$L_n$$ of dimension $$n$$ over a field of characteristic zero, which contain an $$(n-1)$$-dimensional abelian ideal. Some results of an earlier paper of the author [Sbornik Aspirant Rabot. Kazan Univ., 103–105 (1962)] are proved. The classification of the real structures of Lie algebras up to the fifth order are given, which is fully equivalent to the one of S. Lie.

### MSC:

 17B30 Solvable, nilpotent (super)algebras

### Keywords:

generalized rings, nonassociative rings