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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2001 Volume 70, Issue 2, Pages 289–295 (Mi mzm741)

This article is cited 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.

UDC: 512.554

Received: 26.01.2000

DOI: 10.4213/mzm741


 English version:
Mathematical Notes, 2001, 70:2, 258–263

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