FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

PI-exponents of some simple algebras with unit

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 $4$.

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Last modified: May 13, 2014