Geodesic
On the property of having a finite basis of some varieties of Lie algebras
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 34-38

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We prove that the laws of a nilpotent-by-abelian Lie algebra over a field of characteristic zero are finitely based. 
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     author = {A. N. Krasilnikov},
     title = {On the property of having a finite basis of some varieties of {Lie} algebras},
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     year = {1982},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a8/}
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A. N. Krasilnikov. On the property of having a finite basis of some varieties of Lie algebras. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 34-38. http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a8/