交半连续格的性质  

Some Properties of Meet-semicontinuous Lattices

作　　者：李贺[1] 卢涛[1] 高淑红[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：《吉林师范大学学报（自然科学版）》2016年第1期61-63,共3页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11171156)

摘　　要：讨论了交半连续格的一些基本性质,在交半连续格中引入交半Scott开集簇,用其刻画交半连续格.同时,定义了交半连续格上的拓扑和交半连续格之间的映射,并证明了交半连续格的收缩仍是交半连续的.In this paper, some properties of meet-semicontinuous lattices were discussed the characterizations of meet-semicontinuous lattices was described by introducing the concept of meet semi-Scott open collection. Furthermore, a topology on meet-semicontinuous lattices and functions between two meet-semicontinuous lattices was defined. And it can be proved that the retract of meet-semicontinuous lattices is semicontinuous.

关 键 词：半素理想 交连续格 交半连续格 

分 类 号：O189.1[理学—数学]