Completion of the Solvable Baumslag–Solitar Group. Stability Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2026, Volume: 67, Number: 1, Pages: 120-124 Pages count : 5 DOI: 10.1134/s003744662601012x | ||
| Tags | solvable group, elementary theory, stability | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0017 |
Abstract:
The author previously defined the divisible completion of the solvable Baumslag–Solitar group, described the groups elementarily equivalent to it, constructed an axiomatization of the corresponding theory, and proved its decidability. In the present work, elementary submodels of models of this theory are described, and ω-stability is established.
Cite:
Romanovskii N.S.
Completion of the Solvable Baumslag–Solitar Group. Stability
Siberian Mathematical Journal. 2026. V.67. N1. P.120-124. DOI: 10.1134/s003744662601012x WOS Scopus OpenAlex
Completion of the Solvable Baumslag–Solitar Group. Stability
Siberian Mathematical Journal. 2026. V.67. N1. P.120-124. DOI: 10.1134/s003744662601012x WOS Scopus OpenAlex
Original:
Романовский Н.С.
Пополнение разрешимой группы Баумслага ––– Солитера. Стабильность
Сибирский математический журнал. 2026. Т.67. №1. С.147-151. DOI: 10.33048/smzh.2026.67.112 РИНЦ
Пополнение разрешимой группы Баумслага ––– Солитера. Стабильность
Сибирский математический журнал. 2026. Т.67. №1. С.147-151. DOI: 10.33048/smzh.2026.67.112 РИНЦ
Dates:
| Submitted: | Apr 17, 2025 |
| Accepted: | Aug 15, 2025 |
| Published online: | Jan 29, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001674384100010 |
| ≡ Scopus: | 2-s2.0-105029113274 |
| ≡ OpenAlex: | W7126063415 |