DOAJ Open Access 2024

Algebras of binary formulas for ℵ0-categorical weakly circularly minimal theories: monotonic case

B.Sh. Kulpeshov S.V. Sudoplatov

Abstrak

This article concerns the notion of weak circular minimality being a variant of o-minimality for circularly ordered structures. Algebras of binary isolating formulas are studied for countably categorical weakly circularly minimal theories of convexity rank greater than 1 having both a 1-transitive non-primitive automorphism group and a non-trivial strictly monotonic function acting on the universe of a structure. On the basis of the study, the authors present a description of these algebras. It is shown that there exist both commutative and non-commutative algebras among these ones. A strict m-deterministicity of such algebras for some natural number m is also established.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

B.Sh. Kulpeshov

S.V. Sudoplatov

Format Sitasi

APA MLA BibTeX

Kulpeshov, B., Sudoplatov, S. (2024). Algebras of binary formulas for ℵ0-categorical weakly circularly minimal theories: monotonic case. https://doi.org/10.31489/2024m1/112-127

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.31489/2024m1/112-127
Akses: Open Access ✓