M. V. Zaicev, D. Repovš, “A Four-Dimensional Simple Algebra with Fractional PI-Exponent”, Mat. Zametki, 2014, Volume 95, Issue 4,Pages <nobr>538

This article is cited in 6 papers

A Four-Dimensional Simple Algebra with Fractional PI-Exponent

M. V. Zaicev, D. Repovš^a

^a University of Ljubljana

Abstract: Numerical characteristics of identities of finite-dimensional nonassociative algebras are studied. The main result is the construction of a four-dimensional simple unitary algebra with fractional PI-exponent strictly smaller than its dimension.

Keywords: finite-dimensional nonassociative algebra, identities of a nonassociative algebra, PI-exponent, fractional PI-exponent.

UDC: 512.81

Received: 02.04.2012
Revised: 03.06.2013

DOI: 10.4213/mzm9387