Congruence ideals and congruence relations of pseudocomplemented distributive lattice
Zun Wang · 2001
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.