伪补分配格的同余理想与同余关系

Congruence ideals and congruence relations of pseudocomplemented distributive lattice

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.