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Chebyshevskii Sbornik, 2013, Volume 14, Issue 3, Pages 49–51 (Mi cheb288)  
An algebraically closed groups

V. G. Durnev, O. V. Zetkina, A. I. Zetkina

P. G. Demidov Yaroslavl State University
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Abstract: Establish the solubility in any algebraically closed group $G$ of each equation of the form
$$ w(x_1, \ldots , x_n)\, = \, g, $$
where $w(x_1, \ldots , x_n)$ — nonempty irreducible group word unknown $x_1,\dots, x_n$, and $g$ — arbitrary element of group $G$.
Bibliography: 4 titles.
Keywords: group, algebraically closed group, equation over group.
Received: 18.09.2013
Document Type: Article
UDC: 510.53+512.54.0+512.54.03+512.54.05+512.543.72
Language: Russian
Citation: V. G. Durnev, O. V. Zetkina, A. I. Zetkina, “An algebraically closed groups”, Chebyshevskii Sb., 14:3 (2013), 49–51
Citation in format AMSBIB
\Bibitem{DurZetZet13}
\by V.~G.~Durnev, O.~V.~Zetkina, A.~I.~Zetkina
\paper An algebraically closed groups
\jour Chebyshevskii Sb.
\yr 2013
\vol 14
\issue 3
\pages 49--51
\mathnet{http://mi.mathnet.ru/cheb288}
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    Full-text PDF :60
    References:28
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