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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive
Fundam. Prikl. Mat., 2013 Volume 18, Issue 4, Pages 121–128 (Mi fpm1533)
This article is cited in 1 paper

PI-exponents of some simple algebras with unit

S. P. Mishchenko, O. A. Bogdanchuk

Ulyanovsk State University, Ulyanovsk, Russia

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.

UDC: 512.5


 English version: Journal of Mathematical Sciences (New York), 2015, 206:6, 688–693

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© Steklov Math. Inst. of RAS, 2025