Pseudo-strongly-minimal structures and theories Full article
| Journal |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Output data | Year: 2024, Volume: 45, Number: 12, Pages: 6515–6525 Pages count : 11 DOI: 10.1134/S199508022460626X | ||||||||
| Tags | strongly minimal theory, pseudo-strongly-minimal theory, pseudostrongly-minimal order, pseudo-strongly-minimal group | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0012 |
Abstract:
We describe some possibilities of approximations by strongly minimal structures and theories. The obtained objects of approximations are called pseudo-strongly-minimal. Possibilities for expansions and restrictions of theories with respect to the strong minimality and pseudo-strongminimality are described. We describeproperties and possibilitiesfor pseudo-strongly-minimal partial orderings, in particular, pseudo-strongly-minimal theories of partial orderings, whose connected components form chains. Theories of pseudo-strongly-minimal groups are described, too.
Cite:
Kulpeshov B.S.
, Pavlyuk I.I.
, Sudoplatov S.V.
Pseudo-strongly-minimal structures and theories
Lobachevskii Journal of Mathematics. 2024. V.45. N12. P.6515–6525. DOI: 10.1134/S199508022460626X WOS Scopus РИНЦ OpenAlex
Pseudo-strongly-minimal structures and theories
Lobachevskii Journal of Mathematics. 2024. V.45. N12. P.6515–6525. DOI: 10.1134/S199508022460626X WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Sep 21, 2024 |
| Accepted: | Oct 15, 2024 |
| Published print: | Mar 26, 2025 |
| Published online: | Mar 26, 2025 |
Identifiers:
| Web of science: | WOS:001454372500029 |
| Scopus: | 2-s2.0-105001416574 |
| Elibrary: | 80504951 |
| OpenAlex: | W4408855199 |