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Pseudo-strongly-minimal structures and theories Научная публикация

Журнал Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962
Вых. Данные Год: 2024, Том: 45, Номер: 12, Страницы: 6515–6525 Страниц : 11 DOI: 10.1134/S199508022460626X
Ключевые слова strongly minimal theory, pseudo-strongly-minimal theory, pseudostrongly-minimal order, pseudo-strongly-minimal group
Авторы Kulpeshov B.Sh. 1,2 , Pavlyuk In.I. 3 , Sudoplatov S.V. 4
Организации
1 Institute of Mathematics and Mathematical Modeling
2 Kazakh British Technical University
3 Novosibirsk State Technical University
4 Sobolev Institute of Mathematics

Информация о финансировании (1)

1 Институт математики им. С.Л. Соболева СО РАН FWNF-2022-0012

Реферат: 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.
Библиографическая ссылка: 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
Даты:
Поступила в редакцию: 21 сент. 2024 г.
Принята к публикации: 15 окт. 2024 г.
Опубликована в печати: 26 мар. 2025 г.
Опубликована online: 26 мар. 2025 г.
Идентификаторы БД:
Web of science: WOS:001454372500029
Scopus: 2-s2.0-105001416574
РИНЦ: 80504951
OpenAlex: W4408855199
Цитирование в БД:
БД Цитирований
OpenAlex 1
РИНЦ 1
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