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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2025, том 16, номер 3, страницы 42–56 (Mi emj538)

Algebras of binary formulas for weakly circularly minimal theories with equivalence relations

B. Sh. Kulpeshovab

a Kazakh-British Technical University, 59 Tole bi St, 050000, Almaty, Republic of Kazakhstan
b Institute of Mathematics and Mathematical Modeling, 28 Shevchenko St, 050010, Almaty, Republic of Kazakhstan

Аннотация: Algebras of binary isolating formulas are described for $\aleph_0$-categorical $1$-transitive non-primitive weakly circularly minimal theories of convexity rank greater than $1$ with a trivial de nable closure, having only equivalence relations.

Ключевые слова и фразы: algebra of binary formulas, $\aleph_0$-categorical theory, weak circular minimality, circularly ordered structure, convexity rank.

MSC: 03C64, 03C07, 03C40

Поступила в редакцию: 12.05.2024

Язык публикации: английский

DOI: 10.32523/2077-9879-2025-16-3-42-56



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