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

IF 0.7 4区数学 Q2 MATHEMATICS

Siberian Mathematical Journal Pub Date : 2024-03-25 DOI:10.1134/s0037446624020071

B. Sh. Kulpeshov

引用次数: 0

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.

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具有三维可定义封闭性的弱环最小理论的二元公式库

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Siberian Mathematical Journal 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.