FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 3, PAGES 11-26

O. E. Bezushchak

A. A. Beljaev

M. V. Zaicev

Abstract

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In this paper, numerical characteristics of identities of finite-dimensional nonassociative algebras are studied. Main attention is paid to the question of the change of the PI-exponent after adjoining an external unital element. We construct an example of a four-dimensional simple algebra such that its PI-exponent increases by one after adjoining an external unity.

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