An unexpected relationship between indecomposable involutive set-theoretic solutions to the Yang–Baxter equation and one-generator braces has recently been discovered by Agata and Alicja Smoktunowicz. We extend these results and answer three open questions which arose in this context.

中文翻译：

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Yang-Baxter 方程的单生成器支撑和不可分解的集合论解

最近，Agata 和 Alicja Smoktunowicz 发现了 Yang-Baxter 方程的不可分解对合集理论解与单生成器大括号之间的一种意想不到的关系。我们扩展了这些结果并回答了在这种情况下出现的三个开放性问题。