itbm可表示关系结构的拓扑表征

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2026-08-27 DOI:10.1007/s10469-026-09845-1

A. S. Morozov

引用次数: 0

摘要

利用Baire和Cantor波兰空间上的Borel层次，用无限时间Blum-Shub-Smale机器描述了有限签名可表示的关系结构。

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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A Topological Characterization of ITBM–Representable Relational Structures

We describe relational structures of finite signature representable by means of infinite time Blum–Shub–Smale machines in terms of Borel hierarchy on Baire and Cantor Polish spaces.

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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.