Matematičeskie zametki, Tome 70 (2001) no. 2, pp. 289-295
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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/
@article{MZM_2001_70_2_a11,
author = {V. T. Filippov},
title = {On {Right} {Symmetric} and {Novikov} {Nil-Algebras} of {Bounded} {Index}},
journal = {Matemati\v{c}eskie zametki},
pages = {289--295},
year = {2001},
volume = {70},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_2_a11/}
}
TY - JOUR
AU - V. T. Filippov
TI - On Right Symmetric and Novikov Nil-Algebras of Bounded Index
JO - Matematičeskie zametki
PY - 2001
SP - 289
EP - 295
VL - 70
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_2001_70_2_a11/
LA - ru
ID - MZM_2001_70_2_a11
ER -
%0 Journal Article
%A V. T. Filippov
%T On Right Symmetric and Novikov Nil-Algebras of Bounded Index
%J Matematičeskie zametki
%D 2001
%P 289-295
%V 70
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_2001_70_2_a11/
%G ru
%F MZM_2001_70_2_a11
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.