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This article is cited in 29 scientific papers (total in 29 papers)
On non-Spechtian varieties
A. Ya. Belov
House of scientific and technical work of youth
Abstract:
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:
Theorem. Let $F$ be any field of characteristic $p$, $q=p^s$, $s>1$. Then the polynomials $R_n$:
$$
R_n=[[E,T],T]\prod_{i=1}^n Q(x_i,y_i) ([T,[T,F]][[E,T],T])^{q-1}[T,[T,F]],
$$
where $Q(x,y)=x^{p-1}y^{p-1}[x,y]$, generate an infinitely based variety.
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UDC:
512.55
Received: 01.11.1998
Citation:
A. Ya. Belov, “On non-Spechtian varieties”, Fundam. Prikl. Mat., 5:1 (1999), 47–66
Citation in format AMSBIB
\Bibitem{Bel99}
\by A.~Ya.~Belov
\paper On non-Spechtian varieties
\jour Fundam. Prikl. Mat.
\yr 1999
\vol 5
\issue 1
\pages 47--66
\mathnet{http://mi.mathnet.ru/fpm365}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1799544}
\zmath{https://zbmath.org/?q=an:0964.16024}
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