Geodesic
On primitive Lie algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 2, pp. 177-182

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Sufficient conditions for Lie algebra primitiveness and examples of primitive Lie algebras and nonprimitive Lie algebras are given. 
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     title = {On primitive {Lie} algebras},
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A. A. Kucherov; O. A. Pikhtilkova; S. A. Pikhtilkov. On primitive Lie algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 2, pp. 177-182. http://geodesic.mathdoc.fr/item/FPM_2012_17_2_a6/