相容完备格上的保序映射  

Order-preserving mapping on consistently complete lattices

作　　者：王娣[1] 卢涛[1] 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《江苏师范大学学报（自然科学版）》2016年第3期40-41,54,共3页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11171156);安徽省高校自然科学研究重点项目(KJ2015A064)

摘　　要：基于相容半素理想给出了相容完备格的概念.在相容完备格上定义了相容半Lawson拓扑,研究了相容半Scott拓扑、相容半Lawson拓扑及相关的连续映射.In this paper,consistently complete lattice is given based on consistently semiprime ideals,then the consistent semi-Lawson topolopy on consistently complete lattices is given.Finally,the consistent semi-Scott topology,the consistent semi-Lawson topology and the continuous mapping on a consistently complete lattices are studied.

关 键 词：相容半素理想 相容完备格 相容半Lawson拓扑 保序映射 

分 类 号：O189.1[理学—数学] O153.1[理学—基础数学]