A New Version of Orthogonality for 1-Types in Weakly o-Minimal Theories

IF 0.6 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2025-09-01 DOI:10.1007/s10469-025-09791-4

B. Sh. Kulpeshov, S. V. Sudoplatov

引用次数: 0

Abstract

We introduce a new version of orthogonality for nonalgebraic 1-types in weakly o-minimal theories, that of almost quite orthogonality. It is stated that the non almost quite orthogonality relation is an equivalence relation. The main result is a criterion for a weakly o-minimal theory of finite convexity rank with 1 < I(T, ω) < 2^ω to have exactly 3^m6^l countable pairwise nonisomorphic models for some nonnegative integers m, l < ω in terms of the orthogonality version presented.

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弱o-极小理论中1型正交性的一个新版本

我们引入了弱0极小理论中非代数1型的一个新版本的正交性，即几乎完全正交性。指出非几乎完全正交关系是一种等价关系。主要结果是给出了一个关于有限凸秩为1 <； I(T, ω) <； 2ω的弱o-极小理论的一个判据，即对于某些非负整数m， l <； ω具有3m6l个可数对非同构模型的正交性版本。

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

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.