Abstract

Loday and Ronco introduced the notion of a trioid. We construct a trioid which is isomorphic to the free \(n\)-nilpotent trioid, and characterize the least dimonoid congruences and the least semigroup congruence on it. We also study separately singly generated free \(n\)-nilpotent trioids.

中文翻译：

---

免费$$ \ boldsymbol {n} $$-幂等三叉戟上的最小Dimonoid同余

摘要

Loday和Ronco引入了三叉戟的概念。我们构造了一个与自由\（n \）-幂等三叉戟同构的三叉戟，并刻画了它的最小二叉戟同余和最小半群同余。我们还将分别研究单独生成的自由\（n \）-幂等三叉戟。