FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2002, VOLUME 8, NUMBER 3, PAGES 887-910
L. M. Samoilov
Abstract
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We study a $\gamma$ -classical varieties
of associative algebras with trace.
They were introduced by A. R. Kemer.
It is proven that in case of characteristic $p>0$ there exists only
a finite number of minimal $\gamma$ -classical varieties.
The basises of identities of these varieties are described.
We also consruct new examples of prime varieties in positive
characteristic using a new notion of convolution.
All articles are published in Russian.
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Last modified: February 17, 2003