有界分配格及相关结构上的接触关系
Contact relations on bounded distributive lattices and related structures
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中文总结 AI 辅助
该研究运用相关学者的思想技巧,探究有界分配格及其归约上接触关系的离散表示,证明带底元素的分配交半格上的接触关系对应特定闭的自反对称关系。
中文摘要 AI 辅助
我们研究有界分配格及其若干归约上接触关系的离散表示。研究过程中,我们运用Ivo Düntsch、Dimiter Vakarelov和Michael Winter提出的思想与技巧,还证明了:带底元素的分配交半格L上的接触关系,对应于在L的斯通空间乘积中闭的自反且对称的关系。
英文摘要
We study a discrete representation of contact relations on bounded distributive lattices and some of their reducts. In the course of the paper, we apply ideas and techniques developed by Ivo Düntsch, Dimiter Vakarelov, and Michael Winter, and we show---among others---that contact relations on a distributive join semi-lattice $L$ with the bottom element correspond to reflexive and symmetric relations which are closed in the product of the Stone space of $L$.