Ranks and approximations for families of ordered theories Full article
| Journal |
Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876 |
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| Output data | Year: 2024, Volume: 116, Number: 4, Pages: 669–684 Pages count : 16 DOI: 10.1134/S0001434624090256 | ||||||||
| Tags | rank, approximation, family of theories, ordered theory. | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0012 |
Abstract:
Rank values for various families of ordered theories are described as depending on the languages under consideration; a description of e-total transcendence in terms of these languages is also given. Approximations of ordered theories are studied, including approximations by finite and countably categorical orders. Closures are studied and ranks are described for families of ordered theories, including the families of o-minimal and weakly o-minimal theories of various signatures, as well as theories of pure linear orders with various constraints on the discrete parts.
Cite:
Кулпешов Б.Ш.
, Павлюк И.И.
, Судоплатов С.В.
Ranks and approximations for families of ordered theories
Mathematical Notes. 2024. V.116. N4. P.669–684. DOI: 10.1134/S0001434624090256 WOS Scopus РИНЦ OpenAlex
Ranks and approximations for families of ordered theories
Mathematical Notes. 2024. V.116. N4. P.669–684. DOI: 10.1134/S0001434624090256 WOS Scopus РИНЦ OpenAlex
Original:
Кулпешов Б.Ш.
, Павлюк И.И.
, Судоплатов С.В.
Ранги и аппроксимации для семейств упорядоченных теорий
Математические заметки. 2024. Т.116. №4. С.531-551. DOI: 10.4213/mzm14207 РИНЦ OpenAlex
Ранги и аппроксимации для семейств упорядоченных теорий
Математические заметки. 2024. Т.116. №4. С.531-551. DOI: 10.4213/mzm14207 РИНЦ OpenAlex
Dates:
| Submitted: | Nov 30, 2023 |
| Accepted: | May 13, 2024 |
| Published print: | Dec 27, 2024 |
| Published online: | Dec 27, 2024 |
Identifiers:
| Web of science: | WOS:001385329500005 |
| Scopus: | 2-s2.0-85213364325 |
| Elibrary: | 79036476 |
| OpenAlex: | W4405823728 |