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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 5, Pages 1101–1107
DOI: https://doi.org/10.33048/smzh.2020.61.511 (Mi smj6040) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the universal theories of generalized rigid metabelian groups

N. S. Romanovskii

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (382 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2020.61.511
Abstract: We prove that studying the universal theories of generalized rigid metabelian groups reduces to those of the pairs $(A,R)$, where $R$ is a commutative integral domain and $A$ is a nontrivial torsion-free subgroup of the multiplicative group $R^{\ast}$ generating $R$.
Keywords: solvable group, ring, universal theory.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The author was 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: 05.03.2020
Revised: 02.06.2020
Accepted: 17.06.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 5, Pages 878–883
DOI: https://doi.org/10.1134/S0037446620050110
Bibliographic databases:
Document Type: Article
UDC: 512.5+510.6
Language: Russian
Citation: N. S. Romanovskii, “On the universal theories of generalized rigid metabelian groups”, Sibirsk. Mat. Zh., 61:5 (2020), 1101–1107; Siberian Math. J., 61:5 (2020), 878–883
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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