Constructing skew bracoids via abelian maps, and solutions to the Yang-Baxter equation

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Algebra Pub Date : 2025-07-22 DOI:10.1016/j.jalgebra.2025.07.013

Alan Koch , Paul J. Truman

引用次数: 0

Abstract

We show how one can use the skew braces constructed using abelian maps to generate families of skew bracoids as defined by Martin-Lyons and Truman. Under certain circumstances, these bracoids give right non-degenerate solutions to the Yang-Baxter equation.

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用阿贝尔映射构造斜小体，以及Yang-Baxter方程的解

我们展示了如何使用使用阿贝尔映射构造的斜括号来生成Martin-Lyons和Truman定义的斜括号族。在某些情况下，这些类臂给出Yang-Baxter方程的正确非简并解。

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

Journal of Algebra 数学-数学

CiteScore

1.50

自引率

22.20%

发文量

414

审稿时长

2-4 weeks

期刊介绍： The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.