FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 2, PAGES 607-616

**A necessary condition of co-length finiteness of Lie algebra
variety in the case of zero-characteristic field**

I. R. Khanina

Abstract

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This article examines how some characteristics of Lie algebra variety
like co-length are connected with the variety structure in
the case of zero-characteristic field.
In particular, it is proved that co-length finiteness for
the variety $V$ implies
the inclusion $U$_{2}
Ë V Ì N_{s} A, where $s$ is some natural number,
and, as a consequence, the polynomial growth of
the variety $V$.

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published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k002/k00217h.htm

Last modified: September 1, 2000