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有向自反环的满射多态性

IF 0.6 4区 数学 Q3 MATHEMATICS
Algebra Universalis Pub Date : 2023-11-17 DOI:10.1007/s00012-023-00834-4
Isabelle Larivière, Benoît Larose, David E. Pazmiño Pullas
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引用次数: 0

摘要

自反环是任何自反有向图，其底层无向图是一个环。如果一个关系结构的满射多态性本质上都是一元的，则称其为Słupecki。我们证明了所有周长至少为4的自反环都具有这个性质。
本文章由计算机程序翻译，如有差异，请以英文原文为准。

Surjective polymorphisms of directed reflexive cycles

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Surjective polymorphisms of directed reflexive cycles

A reflexive cycle is any reflexive digraph whose underlying undirected graph is a cycle. Call a relational structure Słupecki if its surjective polymorphisms are all essentially unary. We prove that all reflexive cycles of girth at least 4 have this property.

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来源期刊
Algebra Universalis
Algebra Universalis 数学-数学
CiteScore
1.00
自引率
16.70%
发文量
34
审稿时长
3 months
期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.
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