Geodesic
On finitely based varieties of Lie algebras
Sbornik. Mathematics, Tome 35 (1979) no. 2, pp. 165-171 
M. V. Zaicev. On finitely based varieties of Lie algebras. Sbornik. Mathematics, Tome 35 (1979) no. 2, pp. 165-171. http://geodesic.mathdoc.fr/item/SM_1979_35_2_a0/
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     author = {M. V. Zaicev},
     title = {On finitely based varieties of {Lie} algebras},
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     volume = {35},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1979_35_2_a0/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper the author investigates the question of when the following objects are finitely based: 1) the product of two varieties of Lie algebras; 2) the commutator of two varieties; 3) the union of two varieties, one of which is nilpotent. Bibliography: 4 titles.

[1] Yu. A. Bakhturin, “O tozhdestvakh v algebrakh Li”, Vestnik MGU, matematika, mekhanika, 1973, no. 1, 12–18 | Zbl

[2] R. M. Bryant, M. R. Vaughan-Lee, “Soluble varieties of Lie algebras”, Quart. J. Math., Oxford, 23:89 (1972), 107–112 | DOI | MR | Zbl

[3] R. M. Bryant, “On some varieties of groups”, Bull. London Math. Soc., 1:1 (1969), 60–64 | DOI | MR | Zbl

[4] Yu. A. Bakhturin, “O tozhdestvakh v metabelevykh algebrakh Li”, Trudy seminara im. I. G. Petrovskogo, no. 1, 1975, 45–46