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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 5, Pages 1150–1154 (Mi smj2483)  
On matrix types of prime varieties of associative algebras

L. M. Samoĭlov

Ulyanovsk State University, Faculty of Mathematics and Information Technologies, Ulyanovsk, Russia
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Abstract: Some answer is obtained to the problem by A. R. Kemer: We show that for a given number $k$ and all sufficiently large $p$ every prime variety of associative algebras of matrix type $k$ over a field of characteristic $p>0$ is regular.
Keywords: polynomial identity, prime variety, trace identity.
Received: 29.08.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 5, Pages 922–925
DOI: https://doi.org/10.1134/S0037446613050157
Bibliographic databases:
Document Type: Article
UDC: 512.552.4
Language: Russian
Citation: L. M. Samoǐlov, “On matrix types of prime varieties of associative algebras”, Sibirsk. Mat. Zh., 54:5 (2013), 1150–1154; Siberian Math. J., 54:5 (2013), 922–925
Citation in format AMSBIB
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