AI 中文总结
本文研究自由凸半格，通过分析其到乘积空间的同态及有限生成子代数的结构，刻画了有限生成自由凸半格的有限生成子代数。
AI 中文摘要
凸半格是一种凸代数，其上配备了一个满足分配律的额外半格运算。我们通过研究到乘积 R^Ω 的同态，更具体地，研究两个有限生成自由凸半格之间的同态，来探究自由凸半格。我们刻画了有限生成自由凸半格的有限生成子代数。
英文摘要
A convex semilattices is a convex algebra endowed with an additional semilattice operation that satisfies a distributive law. We investigate free convex semilattices by studying the homomorphisms into products RΩ and, more specifically, the homomorphisms between two free finitely generated convex semilattices. We characterise the finitely generated subalgebras of a free finitely generated convex semilattice.
