具有三维可定义封闭性的弱环最小理论的二元公式库

Pub Date : 2024-03-25 DOI:10.1134/s0037446624020071
B. Sh. Kulpeshov
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引用次数: 0

摘要

我们描述了具有 1 传递非原始自同构群和凸性秩为 1 的三义可定义闭包的可数分类弱循环极小理论的二元公式的代数方程。我们找到了这些代数的换元性标准。
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Algebras of Binary Formulas for Weakly Circularly Minimal Theories with Trivial Definable Closure

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.

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