幂交半格上的交同余及其性质  

Intersection Congruence and the Property of Power Intersection Semilattice

作　　者：王亚贤 吴妙玲[1] 史佳鸿 WANG Ya-xian;WU Miao-ling;SHI Jia-hong(School of Science,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,内蒙古呼和浩特010051

出　　处：《模糊系统与数学》2020年第2期29-33,共5页Fuzzy Systems and Mathematics

基　　金：内蒙古工业大学教改项目(2017238)。

摘　　要：给出了幂交半格上几个具体的交同余,证明了任意多个交同余的并是交同余,并指出幂交半格的交同余类是子交半格,介绍了幂交半格上由θ诱导的交同余具有保并性和保序性。In this paper, we give some concrete intersection congruences on power intersection semilattice. It is proved out that union set of any number of intersection congruences are intersection congruences. It is pointed out that the class of intersection congruence of power intersection semilattice is subintersection semilattice. It is introduced that the intersection congruence induced by θ has union preserving and order preserving on power intersection semilattice.

关 键 词：交半格 幂交半格 交同余 交同余类 

分 类 号：O153[理学—数学]