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On matrix types of prime varieties of associative algebras

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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.

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Authors and Affiliations

  1. Ulyanovsk State University, Ulyanovsk, Russia

    L. M. Samoĭlov

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  1. L. M. Samoĭlov
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Correspondence to L. M. Samoĭlov.

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Original Russian Text Copyright © 2013 Samoĭlov L.M.

The author was supported by the Russian Foundation for Basic Research (Grants 10-01-00209-a and 12-01-33031).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 5, pp. 1150–1154, September–October, 2013.

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Samoĭlov, L.M. On matrix types of prime varieties of associative algebras. Sib Math J 54, 922–925 (2013). https://doi.org/10.1134/S0037446613050157

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  • DOI: https://doi.org/10.1134/S0037446613050157

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