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Pseudo-uncountably-categorical structures and theories Научная публикация

Журнал

Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962

Вых. Данные

Год: 2026, Том: 47, Номер: 4, Страницы: 1668-1682 Страниц : 15 DOI: 10.1134/S1995080225612202

Ключевые слова

ω1-categorical theory, pseudo-uncountably-categorical theory, pseudofinite theory, partial ordering, abelian group

Авторы

Kulpeshov B.Sh. ^1,2 , Pavlyuk In.I. ³ , Sudoplatov S.V. ⁴

Организации

1	Institute of Mathematics and Mathematical Modeling, Almaty, 050010 Kazakhstan
2	Kazakh British Technical University, Almaty, 050000 Kazakhstan
3	Novosibirsk State Technical University, Novosibirsk, 630073 Russia
4	Sobolev Institute of Mathematics, Novosibirsk, 630090 Russia

Информация о финансировании (1)

Министерство науки и высшего образования РФ

FWNF-2026-0032

We describe some possibilities of approximations by ω1-categorical structures and theories. The obtained results of approximations are called pseudo-ω1-categorical. Possibilities for expansions and restrictions of theories with respect to the ω1-categoricity and pseudo-ω1-categoricity are studied. We describe properties and possibilities for pseudo-ω1-categorical theories of partial orderings, whose connected components form chains. Theories of pseudo-ω1-categorical abelian groups are described, too.

Kulpeshov B.S. , Pavlyuk I.I. , Sudoplatov S.V.
Pseudo-uncountably-categorical structures and theories
Lobachevskii Journal of Mathematics. 2026. V.47. N4. P.1668-1682. DOI: 10.1134/S1995080225612202 WOS Scopus OpenAlex

Поступила в редакцию:	2 дек. 2025 г.
Принята к публикации:	28 февр. 2026 г.
Опубликована в печати:	20 июл. 2026 г.
Опубликована online:	20 июл. 2026 г.

≡ Web of science:	WOS:001826736700006
≡ Scopus:	2-s2.0-105045250471
≡ OpenAlex:	W7169773837