几乎ω-范畴弱o-极小理论的二元隔离公式的分布代数

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2021-12-03 DOI:10.1007/s10469-021-09650-y

A. B. Altayeva, B. Sh. Kulpeshov, S. V. Sudoplatov

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引用次数: 2

摘要

对于几乎ω-范畴弱o-极小理论，我们描述了1-型上二元孤立公式的分布代数。证明了这些代数对于两个1-类型的同构的特征是二元凸性秩的重合，以及这两个类型的孤立性、拟合理性或非理性的同时实现。对于几乎ω-范畴弱o-极小理论，建立了一对非弱正交1-型上公式代数广义交换的判据。

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Algebras of Distributions of Binary Isolating Formulas for Almost ω-Categorical Weakly o-Minimal Theories

We describe distribution algebras of binary isolating formulas over 1-type for almost ω-categorical weakly o-minimal theories. It is proved that an isomorphism of these algebras for two 1-types is characterized by the coincidence of binary convexity ranks, as well as by the simultaneous fulfillment of isolation, quasirationality or irrationality of the two types. A criterion is established for an algebra of formulas over a pair of not weakly orthogonal 1-types to be generalized commutative for almost ω-categorical weakly o-minimal theories.

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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.