Geodesic
On Right Symmetric and Novikov Nil-Algebras of Bounded Index
Matematičeskie zametki, Tome 70 (2001) no. 2, pp. 289-295.

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Let $\Phi$ be a field of characteristic zero. It is proved that a right symmetric nil-algebra of index $n$ over $\Phi$ is right nilpotent, and a Novikov nil-algebra of index $n$ over $\Phi$ is nilpotent. 
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V. T. Filippov. On Right Symmetric and Novikov Nil-Algebras of Bounded Index. Matematičeskie zametki, Tome 70 (2001) no. 2, pp. 289-295. http://geodesic.mathdoc.fr/item/MZM_2001_70_2_a11/

[1] Balinskii A. A., Novikov S. P., “Skobki Puassona gidrodinamicheskogo tipa, frobeniusovy algebry i algebry Li”, Dokl. AN SSSR, 283:5 (1985), 1036–1039 | MR | Zbl

[2] Osborn J. M., “Novikov algebras”, Nova J. Algebra Geometry, 1:1 (1992), 1–13 | MR | Zbl

[3] Vinberg E. B., “Vypuklye odnorodnye oblasti”, Dokl. AN SSSR, 141:3 (1961), 521–524 | MR | Zbl

[4] Zelmanov E. I., “Ob engelevykh algebrakh Li”, Sib. matem. zh., 29:5 (1988), 112–117 | MR | Zbl

[5] Zelmanov E. I., “Ob odnom klasse lokalnykh translyatsionno invariantnykh algebr Li”, Dokl. AN SSSR, 292:6 (1987), 1294–1297 | MR | Zbl