This article is cited in 2 scientific papers (total in 2 papers)
On the $\gamma$-classical varieties
L. M. Samoilov
Ulyanovsk State University
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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L. M. Samoilov, “On the $\gamma$-classical varieties”, Fundam. Prikl. Mat., 8:3 (2002), 887–910
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\paper On the $\gamma$-classical varieties
\jour Fundam. Prikl. Mat.
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L. M. Samoǐlov, “The unitary closure property of the prime varieties of associative algebras”, Siberian Math. J., 51:4 (2010), 712–722
L. M. Samoǐlov, “On matrix types of prime varieties of associative algebras”, Siberian Math. J., 54:5 (2013), 922–925
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