We extend a result of Ramirez and Vendramin on the decomposability of a finite non-degenerate involutive solution of the Yang-Baxter equation. We exhibit examples showing that the conditions for (in)decomposability in our obtained results are not necessary. Furthermore, we answer a question of Ramirez and Vendramin affirmatively in case the permutation group is nilpotent.

中文翻译：

---

Yang-Baxter 方程有限解的（内）可分解性

我们扩展了 Ramirez 和 Vendramin 关于 Yang-Baxter 方程的有限非退化对合解的可分解性的结果。我们展示的例子表明，我们获得的结果中的（不）可分解性条件不是必需的。此外，如果置换群是幂零的，我们肯定地回答 Ramirez 和 Vendramin 的问题。