FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 1, PAGES 47-66

**On non-Spechtian varieties**

A. Ya. Belov

Abstract

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This article is devoted to construction of infinitely based series of
identities.
Such counterexamples in Specht problem are built in any positive
characteristics.
The main result is the following:

\bfseries Theorem.
Let $F$ be any
field of characteristic $p$, $q=ps$,
$s\; >\; 1$.
Then the polynomials $R$_{n}:

$R$_{n}=[[E,T],T] Õ
_{i=1}^{n}Q(x_{i},y_{i})([T,[T,F]][[E,T],T])^{q-1}[T,[T,F]],
where $Q(x,y)=xp-1yp-1[x,y]$,
generate an infinitely based variety.

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published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/99/991/99103h.htm

Last modified: April 27, 1999