一致半连续格  

Uniform semicontinuous lattices

作　　者：李海龙[1] 姜广浩[1] 占诗源 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《天津师范大学学报（自然科学版）》2015年第2期21-23,共3页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11361028;11001001);安徽高等学校省级自然科学研究重点资助项目(KJ2013A236)

摘　　要：给出一致半连续格的概念及其若干性质,利用一致半素极小集的方法阐述了映射的一致半连续性、保坩u关系和保一致半素极小集之间的联系,并得到一致半连续格的任意收缩仍是一致半连续格.The concept of uniform semicontinuous lattice is introduced and examined. By the method of uniform semiprime minimal subsets, the relationships among the uniform semicontinuous of the mapping, preserving u and the uniform semiprime minimal subsets are explained. In addition, it is proved that any retract of a uniform semicontinuous lattice is still uniform semicontinuous.

关 键 词：半素理想 一致半素集 一致完备格 一致半连续格 

分 类 号：O189.1[理学—数学] O153.1[理学—基础数学]