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This article is cited in 5 scientific papers (total in 5 papers)
Algebraic sets in metabelian groups
N. S. Romanovskii
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
The research launched in [Algebra i Logika, 44, № 5 (2005), 601–621] is brought to a close by examining algebraic sets in a metabelian group $G$ in two important cases: (1) $G=F_n$ is a free metabelian group of rank $n$; (2) $G=W_{n,k}$ is a wreath product of free Abelian groups of ranks $n$ and $k$.
Keywords:
algebraic set, metabelian group.
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English version:
Algebra and Logic, 2007, 46:4, 274–280
Bibliographic databases:
   
UDC:
512.5
Received: 09.11.2006
Citation:
N. S. Romanovskii, “Algebraic sets in metabelian groups”, Algebra Logika, 46:4 (2007), 503–513; Algebra and Logic, 46:4 (2007), 274–280
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/al310 http://mi.mathnet.ru/eng/al/v46/i4/p503
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This publication is cited in the following articles:
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N. S. Romanovskii, “Irreducible algebraic sets over divisible decomposed rigid groups”, Algebra and Logic, 48:6 (2009), 449–464
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E. Yu. Daniyarova, A. G. Myasnikov, V. N. Remeslennikov, “Algebraic geometry over algebraic structures. II. Foundations”, J. Math. Sci., 185:3 (2012), 389–416
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N. S. Romanovskii, “Algebraic sets in a finitely generated rigid $2$-step solvable pro-$p$-group”, Algebra and Logic, 54:6 (2016), 478–488
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Lysenok I. Ushakov A., “Spherical Quadratic Equations in Free Metabelian Groups”, Proc. Amer. Math. Soc., 144:4 (2016), 1383–1390
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S. G. Afanas'eva, “Algebraic sets in a divisible $2$-rigid group”, Siberian Math. J., 59:2 (2018), 202–206
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