摘要
本文从对偶地角度出发,引入了相容滤子集、相容滤子完备偏序集的概念,并研究了偏序集及相容滤子完备偏序集上投射算子的几个性质.证明了若p:L→L是偏序集L上保相容滤子交的投射算子,则p(L)在L中对相容滤子交封闭等相关结论.
In this paper, we introduce the concepts of the consistent filter and consistently filter complete posets. After that some properties of projection operators on posets and consistently filtered complete posers are dis- cussed. It is proved that if p：L→L is a projection operator preserving consistently filtered infs on posets L, then p （L） is closed under consistently filtered infs in L.
出处
《吉林师范大学学报（自然科学版）》
2014年第1期54-56,共3页
Journal of Jilin Normal University:Natural Science Edition
基金
国家自然科学基金资助项目(11171156)
安徽省自然科学研究项目(KJ2012Z358)
关键词
滤子
相容滤子完备偏序集
投射算子
filter
consistently filter complete posets
projection operators
