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PI-exponents of some Simple Algebras with Unit

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Abstract

Over a field of characteristic zero we have constructed a discrete series of simple finite-dimensional algebras with unit. Its sequence of dimensions is not bounded, but PI-exponents are different fractional numbers strictly less than 4.

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Authors and Affiliations

  1. Ulyanovsk State University, Ulyanovsk, Russia

    S. P. Mishchenko & O. A. Bogdanchuk

Authors
  1. S. P. Mishchenko
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  2. O. A. Bogdanchuk
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Correspondence to S. P. Mishchenko.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 18, No. 4, pp. 121–128, 2013.

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Mishchenko, S.P., Bogdanchuk, O.A. PI-exponents of some Simple Algebras with Unit. J Math Sci 206, 688–693 (2015). https://doi.org/10.1007/s10958-015-2345-1

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  • DOI: https://doi.org/10.1007/s10958-015-2345-1

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