Algebras of Binary Formulas for Weakly Circularly Minimal Theories with Trivial Definable Closure

Abstract

We describe the algebras of binary formulas for countably categorical weakly circularly minimal theories with 1-transitive nonprimitive automorphism group and trivial definable closure having convexity rank 1. We find some criterion for commutativity of the algebras.

More by Beibut Kulpeshov

• Strongly Minimal Partial Orderings Having an Infinite Non-trivial WidthLobachevskii Journal of Mathematics · 2026
• Pseudo-Uncountably-Categorical Structures and TheoriesLobachevskii Journal of Mathematics · 2026
• Algebras of Binary Formulas for Weakly Circularly Minimal Theories with Trivial Definable Closure: Monotonic-to-right CaseThe Bulletin of Irkutsk State University Series Mathematics · 2026
• E -combinations and closures of quite o-minimal theories2025