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Almost nilpotent varieties of arbitrary integer exponent

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Abstract

Varieties of linear algebras with the square lying in the right annihilator are considered. In the case of field of characteristic zero, it is proved that for any integer m there exists an almost nilpotent variety with PI-exponent is equal to m.

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References

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Authors and Affiliations

  1. Faculty of Mathematics and Information Technology, Ulyanovsk State University, 42, Leo Tolstoy Str., Ulyanovsk, 432017, Russia

    S. P. Mishchenko & O. V. Shulezhko

  2. Chair of informatics, Ulyanovsk State Pedagogical University, 4, Square of the 100th Anniversary of V. I. Lenin, Ulyanovsk, 432700, Russia

    S. P. Mishchenko & O. V. Shulezhko

Authors
  1. S. P. Mishchenko
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  2. O. V. Shulezhko
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Corresponding author

Correspondence to S. P. Mishchenko.

Additional information

Original Russian Text © S.P. Mishchenko, O.V. Shulezhko, 2015, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 2, pp. 53–57.

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Mishchenko, S.P., Shulezhko, O.V. Almost nilpotent varieties of arbitrary integer exponent. Moscow Univ. Math. Bull. 70, 92–95 (2015). https://doi.org/10.3103/S0027132215020084

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  • DOI: https://doi.org/10.3103/S0027132215020084

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