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This article is cited in 14 scientific papers (total in 14 papers)
On Right Symmetric and Novikov Nil-Algebras of Bounded Index
V. T. Filippov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
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.
Received: 26.01.2000
Citation:
V. T. Filippov, “On Right Symmetric and Novikov Nil-Algebras of Bounded Index”, Mat. Zametki, 70:2 (2001), 289–295; Math. Notes, 70:2 (2001), 258–263
Linking options:
https://www.mathnet.ru/eng/mzm741https://doi.org/10.4213/mzm741 https://www.mathnet.ru/eng/mzm/v70/i2/p289
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