FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 4, PAGES 121-128

S. P. Mishchenko

O. A. Bogdanchuk

Abstract

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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

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