FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 3, PAGES 887-910

**On the $$g-classical varieties**

L. M. Samoilov

Abstract

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We study a $$g-classical varieties
of associative algebras with trace.
They were introduced by A. R. Kemer.
It is proven that in case of characteristic $p\; >\; 0$ there exists only
a finite number of minimal $$g-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.

Location: http://mech.math.msu.su/~fpm/eng/k02/k023/k02315h.htm

Last modified: February 17, 2003