Algebraic Closures in Divisible Rigid Groups Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 4, Pages: 840-845 Pages count : 6 DOI: 10.1134/s0037446624040116 | ||
| Tags | group, solvable group, elementary theory, algebraic closure | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-21-00214 |
Abstract:
We prove that in a divisible m-rigid group the algebraic closure of each set generating a subgroup of solvability length m coincides with the elementary closure of this set.
Cite:
Romanovskii N.S.
Algebraic Closures in Divisible Rigid Groups
Siberian Mathematical Journal. 2024. V.65. N4. P.840-845. DOI: 10.1134/s0037446624040116 WOS Scopus РИНЦ OpenAlex
Algebraic Closures in Divisible Rigid Groups
Siberian Mathematical Journal. 2024. V.65. N4. P.840-845. DOI: 10.1134/s0037446624040116 WOS Scopus РИНЦ OpenAlex
Original:
Романовский Н.С.
Алгебраические замыкания в делимых жестких группах
Сибирский математический журнал. 2024. Т.65. №4. С.727-734. DOI: 10.33048/smzh.2024.65.411 РИНЦ
Алгебраические замыкания в делимых жестких группах
Сибирский математический журнал. 2024. Т.65. №4. С.727-734. DOI: 10.33048/smzh.2024.65.411 РИНЦ
Dates:
| Submitted: | Feb 1, 2024 |
| Accepted: | Jun 20, 2024 |
| Published print: | Jul 16, 2024 |
| Published online: | Jul 16, 2024 |
Identifiers:
| Web of science: | WOS:001272553600016 |
| Scopus: | 2-s2.0-85198647615 |
| Elibrary: | 68538184 |
| OpenAlex: | W4400697948 |
Citing:
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