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This article is cited in 5 scientific papers (total in 5 papers)
Universal theories for free solvable groups
N. S. Romanovskiiab
a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
It is proved that a free solvable group of derived length at least 4 has an algorithmically undecidable universal theory.
Keywords:
universal theory, decidable theory, free solvable group.
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English version:
Algebra and Logic, 2012, 51:3, 259–263
Bibliographic databases:
   
UDC:
512.54.05
Received: 07.02.2012
Citation:
N. S. Romanovskii, “Universal theories for free solvable groups”, Algebra Logika, 51:3 (2012), 385–391; Algebra and Logic, 51:3 (2012), 259–263
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/al541 http://mi.mathnet.ru/eng/al/v51/i3/p385
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This publication is cited in the following articles:
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A. G. Myasnikov, N. S. Romanovskii, “Logical aspects of the theory of divisible rigid groups”, Dokl. Math., 90:3 (2014), 697–698
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E. I. Timoshenko, “Universal theory of a free polynilpotent group”, Izv. Math., 80:3 (2016), 623–632
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E. Yu. Daniyarova, A. G. Myasnikov, V. N. Remeslennikov, “Algebraic geometry over algebraic structures. VI. Geometric equivalence”, Algebra and Logic, 56:4 (2017), 281–294
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E. I. Timoshenko, “Theories of relatively free solvable groups with extra predicate”, Algebra and Logic, 57:4 (2018), 295–308
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N. S. Romanovskii, “Ob universalnykh teoriyakh metabelevykh obobschenno zhestkikh grupp”, Sib. matem. zhurn., 61:5 (2020), 1101–1107
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