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On Right Symmetric and Novikov Nil-Algebras of Bounded Index |
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| Authors: | Filippov V T |
| Institution: | (1) Siberian Division of the Russian Academy of Sciences, S. L. Sobolev Institute of Mathematics, Novosibirsk |
| Abstract: | Let  be a field of characteristic zero. It is proved that a right symmetric nil-algebra of index n over is right nilpotent, and a Novikov nil-algebra of index n over is nilpotent. |
| Keywords: | nonassociative algebra right symmetric algebra Novikov algebra left Novikov algebra right nilpotent algebra nil-algebra |
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