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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
Fulltext:
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References
Cited by
English version:
Mathematical Notes, 2001,
70
:2,
258–263
Bibliographic databases:
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