半格单调扩张的拓扑对偶
A topological duality for monotone expansions of semilattices
摘要：
本文利用\cite{Celani2020}中关于半格的拓扑对偶及其标准扩张的拓扑描述，给出了单调半格的Stone型对偶.作为这个对偶的应用，我们利用单调下Vietoris型拓扑得到了单调半格同余的一个刻画。
英文摘要：
In this paper we provide a Stone style duality for monotone semilattices by using the topological duality developed in \cite{Celani2020} for semilattices together with a topological description of their canonical extension. As an application of this duality we obtain a characterization of the congruences of monotone semilattices by means of monotone lower-Vietoris-type topologies.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
