A. B. Verevkin, M. V. Zaicev, S. P. Mishchenko, “A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, Number 2,Pages <nobr>36

This article is cited in 16 papers

Mathematics

A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras

A. B. Verevkin^a, M. V. Zaicev^b, S. P. Mishchenko^a

^a Ulyanovsk State University
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Numerical characteristics of identities of Lie algebras are studied in the paper. We prove the existence of fractional PI-exponent for one known earlier Lie algebra soluble of length three.

Key words: identities, codimensions, fractional exponential growth.

UDC: 512.572

Received: 30.06.2010