Extension of Partial Automorphisms in Finite Tournament: Announcement

IF 0.6 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2026-02-12 DOI:10.1007/s10469-026-09815-7

K. Zh. Kudaibergenov

引用次数: 0

Abstract

We announce a positive solution to the partial automorphism extension problem for finite tournaments in the case of a unique partial automorphism, along with an estimate for the order of the resulting extension. We also announce the result that every finite tournament can be embedded into a finite vertex-transitive tournament, with the order of this vertex -transitive tournament specified. Complete proofs will be published in Algebra Logic 64, No. 3 (2025).

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有限对局中部分自同构的推广：公告

在唯一偏自同构的情况下，给出了有限比武的偏自同构扩展问题的一个正解，并给出了扩展的阶数估计。我们还宣布了一个结果，即每个有限锦标赛都可以嵌入到一个有限顶点传递锦标赛中，并指定了这个顶点传递锦标赛的顺序。完整的证明将发表在代数逻辑64，No. 3（2025）。

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.