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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 517, Pages 92–95
DOI: https://doi.org/10.31857/S2686954324030159 (Mi danma536) 		 
MATHEMATICS

On elementary theory of completion of solvable Baumslag–Solitar group

N. S. Romanovskii

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
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DOI: https://doi.org/10.31857/S2686954324030159
Abstract: We define a divisible completion of the solvable Baumslag–Solitar group $BS(1,n)$ and prove that under certain restrictions on $n$ the elementary theory of this completion is decidable.
Keywords: Baumslag–Solitar group, solvable, elementary theory.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences 0314-2019-0001
This work was supported by the Program I.1.1 of Basic Research of the Siberian Branch of the Russian Academy of Science, project no. 0314-2019-0001.
Presented: S. S. Goncharov
Received: 26.04.2024
Revised: 06.06.2024
Accepted: 06.06.2024
English version:
Doklady Mathematics, 2024, Volume 109, Issue 3, Pages 268–270
DOI: https://doi.org/10.1134/S1064562424601239
Bibliographic databases:
Document Type: Article
UDC: 512.5, 510.6
Language: Russian
Citation: N. S. Romanovskii, “On elementary theory of completion of solvable Baumslag–Solitar group”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024), 92–95; Dokl. Math., 109:3 (2024), 268–270
Citation in format AMSBIB
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\by N.~S.~Romanovskii
\paper On elementary theory of completion of solvable Baumslag--Solitar group
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 517
\pages 92--95
\mathnet{http://mi.mathnet.ru/danma536}
\crossref{https://doi.org/10.31857/S2686954324030159}
\elib{https://elibrary.ru/item.asp?id=69204695}
\transl
\jour Dokl. Math.
\yr 2024
\vol 109
\issue 3
\pages 268--270
\crossref{https://doi.org/10.1134/S1064562424601239}
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