FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 4, PAGES 1239-1245
V. V. Shchigolev
Abstract
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In the present article the equivalence of nil-property and
nilpotency of finitely
defined algebras is explored. The answer is given according to
the numbers of
the generators and the defining relations. An example of algebras with few
defining relations and nilpotent monomials of the first and the second degrees
is also built.
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