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Algebra i logika, 2012, Volume 51, Number 3, Pages 385–391 (Mi al541)  
This article is cited in 7 scientific papers (total in 7 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
Full-text PDF (133 kB) Citations (7)
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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.
Received: 07.02.2012
English version:
Algebra and Logic, 2012, Volume 51, Issue 3, Pages 259–263
DOI: https://doi.org/10.1007/s10469-012-9188-3
Bibliographic databases:
Document Type: Article
UDC: 512.54.05
Language: Russian
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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  • https://www.mathnet.ru/eng/al/v51/i3/p385
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Full-text PDF :73
    References:62
    First page:12
     
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