Geodesic
On the property of being finitely based of some solvable varieties of Lie algebras of finite axiomatic rank
Sbornik. Mathematics, Tome 57 (1987) no. 1, pp. 111-129 
V. V. Stovba. On the property of being finitely based of some solvable varieties of Lie algebras of finite axiomatic rank. Sbornik. Mathematics, Tome 57 (1987) no. 1, pp. 111-129. http://geodesic.mathdoc.fr/item/SM_1987_57_1_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper a maximality condition is established for verbal subalgebras of a relatively free algebra, over a field of cardinality at least $c+1$, of the variety $\mathfrak N_c\mathfrak N_d$ of Lie algebras with a finite set of free generators. (The variety $\mathfrak N_c\mathfrak N_d$ consists of the algebras obtained by extending nilpotent Lie algebras of class $c$ by means of nilpotent Lie algebras of class $d$.) Bibliography: 5 titles.

[1] Razmyslov Yu. P., “O radikale Dzhekobsona v $PI$-algebrakh”, Algebra i logika, 13:3 (1974), 337–360 | MR | Zbl

[2] Krasilnikov A. N., “Konechnaya baziruemost nekotorykh mnogoobrazii algebr Li”, Vestn. MGU. Ser. 1, Matematika, mekhanika, 1982, no. 2, 34–38 | MR | Zbl

[3] Drenski V. S., “O tozhdestvakh v algebrakh Li”, Algebra i logika, 13:3 (1974), 265–290 | MR | Zbl

[4] Bahturin J. A., Lectures on Lie algebras, Academie-Verlag, Berlin, 1978 | MR

[5] Leng S., Algebra, Mir, M., 1968