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Algebra i logika, 2021, Volume 60, Number 2, Pages 176–194
DOI: https://doi.org/10.33048/alglog.2021.60.205 (Mi al2657) 		 
Coordinate groups of irreducible algebraic sets over divisible metabelian $r$-groups

N. S. Romanovskii

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/alglog.2021.60.205
Abstract: We describe coordinate groups of generalized rigid metabelian groups in which, whenever a group is noncommutative, the second factor of a rigid series is a divisible $R$-module over an appropriate integral domain $R$.
Keywords: coordinate group, generalized rigid metabelian group, rigid series.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0001
Russian Foundation for Basic Research 18-01-00100
The study was carried out within the framework of the state assignment to Sobolev Institute of Mathematics SB RAS, project No. 0314-2019-0001, and supported by RFBR, project No. 18-01-00100.
Received: 01.06.2020
Revised: 24.08.2021
English version:
Algebra and Logic, 2021, Volume 60, Issue 2, Pages 115–127
DOI: https://doi.org/10.1007/s10469-021-09634-y
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: N. S. Romanovskii, “Coordinate groups of irreducible algebraic sets over divisible metabelian $r$-groups”, Algebra Logika, 60:2 (2021), 176–194; Algebra and Logic, 60:2 (2021), 115–127
Citation in format AMSBIB
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\paper Coordinate groups of irreducible algebraic sets over divisible metabelian $r$-groups
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\issue 2
\pages 176--194
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\pages 115--127
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