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

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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.
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     author = {V. V. Stovba},
     title = {On the property of being finitely based of some solvable varieties of {Lie~algebras} of finite axiomatic rank},
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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/