On the $\gamma$-classical varieties
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 887-910
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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.
@article{FPM_2002_8_3_a14,
author = {L. M. Samoilov},
title = {On the $\gamma$-classical varieties},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {887--910},
publisher = {mathdoc},
volume = {8},
number = {3},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a14/}
}
L. M. Samoilov. On the $\gamma$-classical varieties. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 887-910. http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a14/