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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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/

[1] Beidar K. I., Pikhtilkov S. A., “Pervichnyi radikal spetsialnykh algebr Li”, Fundament. i prikl. mat., 6:3 (2000), 643–648 | MR | Zbl

[2] Burbaki N., Gruppy i algebry Li, (glavy I–III), Mir, M., 1976 | MR

[3] Dzhekobson N., Algebry Li, Mir, M., 1964 | MR

[4] Diksme Zh., Universalnye obërtyvayuschie algebry, Mir, M., 1978 | MR

[5] Latyshev V. N., “Ob algebrakh Li s tozhdestvennymi sootnosheniyami”, Sib. mat. zhurn., 4:4 (1963), 821–829 | Zbl

[6] Pikhtilkov S. A., “Primitivnost svobodnoi assotsiativnoi algebry s konechnym chislom obrazuyuschikh”, Uspekhi mat. nauk, 29:1 (1974), 183–184 | MR | Zbl

[7] Kherstein I., Nekommutativnye koltsa, Mir, M., 1972 | MR