伪补分配格的同余理想与同余关系  

Congruence ideals and congruence relations of pseudocomplemented distributive lattice

作　　者：王尊全[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443000

出　　处：《纯粹数学与应用数学》2001年第4期363-367,共5页Pure and Applied Mathematics

摘　　要：L是完备的伪补分配格 ,I是 L的同余理想 ,本文得到以下结果 :(1 ) θ是 L的以 I为核的最大同余关系的条件 .(2 ) L的以 I为核的同余关系是唯一的充分必要条件 .(3 )Let L be a pseudocomplemented distributive lattice and let I be a congruence ideal of L The main results in this paper are follows: 1) We characterize the greatest congruence realtion on L whose kernel is an ideal I 2) We get necessary and sufficient condition that there is only one congruence relation θ on L such that I= ker θ 3) We find necessary and sufficient condition in order that correspondence between the congruence relations and congruence ideals of a pseudocomplemented distributive cattice be one to one.

关 键 词：伪补分配格 同余理想 同余关系 原子格 一一对应 充要条件 

分 类 号：O153.1[理学—数学]