FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 2, PAGES 607-616
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 $U_2\not\subset V\subset N_sA$ ,
where $s$ is some natural number, and,
as a consequence, the polynomial growth of the variety $V$ .
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Last modified: September 1, 2000