节点文献
连续格的极小集刻画
Characterizations of Continuous Lattices by Directed Minimal Subsets
【摘要】 仿照完全分配格中的做法,定义了完备格上的定向极小集和连续格上的定向极小映射,从而得到了连续格的定向极小集刻画,并研究了它们的一些性质。
【Abstract】 By the theory of completely distributive lattices,directed minimal subsets in complete lattices and directed minimal maps in continuous lattices are defined.Then some equivalent conditions of complete lattices to be continuous lattices are obtained,and some properties of directed minimal subsets are studied.
【关键词】 双小于;
连续格;
定向分配律;
定向极小集;
定向极小映射;
【Key words】 way-below; continuous lattices; directed distributive law; directed minimal subsets; directed minimal maps;
【Key words】 way-below; continuous lattices; directed distributive law; directed minimal subsets; directed minimal maps;
- 【文献出处】 苏州科技学院学报 ,Journal of University of Science and Technology of Suzhou , 编辑部邮箱 ,2006年04期
- 【分类号】O153.1
- 【被引频次】1
- 【下载频次】48