Ranks and approximations for families of cubic theories
Кубтық теориялардың үйiрлерi үшiн рангiлер мен аппроксимациялар
Ранги и аппроксимация для семейств кубических теорий
Markhabatov N.D.
2023E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2023#111Issue 381 - 90 pp.
In this paper, we study the rank characteristics for families of cubic theories, as well as new properties of cubic theories as pseudofiniteness and smooth approximability. It is proved that in the family of cubic theories, any theory is a theory of finite structure or is approximated by theories of finite structures. The property of pseudofiniteness or smoothly approximability allows one to investigate finite objects instead of complex infinite ones, or vice versa, to produce more complex ones from simple structures.
approximation of a theory , cube , cubic structure , cubic theory , pseudofinite theory , smoothly approximated structure
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L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
Kazakh-British Technical University, Almaty, Kazakhstan
L.N. Gumilyov Eurasian National University
Kazakh-British Technical University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026