PRINCIPAL CONGRUENCES ON PSEUDO-COMPLEMENTED DISTRIBUTIVE LATTICES
Zhu Yi · Journal of Mathematics · 2000
Let L be a pseudo complemented distributive lattice.We obtain a necessary and sufficient condition that an ideal of L is a congruence ideal,and some necessary and sufficient conditions that the lattice congruence θ L(a,b) becomes * congruence on L We also characterize the principal congruence θ *(a,b) and the smallest * congruence whose kernel is a congruence ideal.The partical results in this paper generalize ones given in papers [1,2,3]