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.

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Last modified: February 17, 2003