Ranks and approximations for families of ordered theories | Sciact - Система учета научной деятельности ИМ СО РАН

Ranks and approximations for families of ordered theories Научная публикация

Журнал

Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876

Вых. Данные

Год: 2024, Том: 116, Номер: 4, Страницы: 669–684 Страниц : 16 DOI: 10.1134/S0001434624090256

Ключевые слова

rank, approximation, family of theories, ordered theory.

Авторы

Кулпешов Б.Ш. ^1,2 , Павлюк И.И. ³ , Судоплатов С.В. ^3,4

Организации

1	Kazakh–British Technical University, Almaty, 050000 Kazakhstan
2	Institute of Mathematics and Mathematical Modeling, Almaty, 050010 Kazakhstan
3	Novosibirsk State Technical University, Novosibirsk, 630073 Russia
4	Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk,

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0012

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.

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

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

Поступила в редакцию:	30 нояб. 2023 г.
Принята к публикации:	13 мая 2024 г.
Опубликована в печати:	27 дек. 2024 г.
Опубликована online:	27 дек. 2024 г.

Web of science:	WOS:001385329500005
Scopus:	2-s2.0-85213364325
РИНЦ:	79036476
OpenAlex:	W4405823728

БД	Цитирований
Web of science	1