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.

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Last modified: February 17, 2003