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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 681–686
DOI: https://doi.org/10.33048/smzh.2020.61.316 (Mi smj6011) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Elementary equivalence and direct product decompositions of partially commutative groups of varieties

N. S. Romanovskiia, E. I. Timoshenkoab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State Technical University
Full-text PDF (385 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2020.61.316
Abstract: Considering the partially commutative groups of the varieties that include the variety of all length 2 nilpotent groups, we study the questions of factor cancellation in direct products, coincidence of elementary theories, characterization of the group by its elementary theory, and the possibility of direct product decomposition.
Keywords: partially commutative group, nilpotent group, solvable group, elementary theory.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The authors were partially supported by the Mathematical Center in Akademgorodok under Agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 01.01.2020
Revised: 31.03.2020
Accepted: 08.04.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 538–541
DOI: https://doi.org/10.1134/S0037446620030167
Bibliographic databases:
Document Type: Article
UDC: 512.5
MSC: 35R30
Language: Russian
Citation: N. S. Romanovskii, E. I. Timoshenko, “Elementary equivalence and direct product decompositions of partially commutative groups of varieties”, Sibirsk. Mat. Zh., 61:3 (2020), 681–686; Siberian Math. J., 61:3 (2020), 538–541
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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