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On growth of varieties of commutative linear algebras

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Abstract

There exists varieties of commutative linear algebras over a field of zero characteristic whose exponent is equal to α for any real α > 1 and the intermediate growth is \( {n^{{n^\beta }}} \) for any real 0 < β < 1.

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Authors and Affiliations

  1. Faculty of Mathematics and Information Technologies, Ulyanovsk State University, Ulyanovsk, 432700, Russia

    S. S. Mishchenko

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  1. S. S. Mishchenko
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Correspondence to S. S. Mishchenko.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 5, pp. 165–170, 2008.

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Mishchenko, S.S. On growth of varieties of commutative linear algebras. J Math Sci 163, 739–742 (2009). https://doi.org/10.1007/s10958-009-9710-x

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  • DOI: https://doi.org/10.1007/s10958-009-9710-x

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