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。
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.
出处
《苏州科技学院学报（自然科学版）》
CAS
2006年第4期21-23,共3页
Journal of Suzhou University of Science and Technology （Natural Science Edition）
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
way-below
continuous lattices
directed distributive law
directed minimal subsets
directed minimal maps
