Completely Prime Ideals and Abstractly Complete Rings of Sets
Yu Zhang · Acta Scientiarum Naturalium Universitatis Neimongol · 2000
ly complete rings of sets and obtains the following results:1) The complete congruence relations of the complete lattice L can be determined by the sets of completely prime ideals of LL is an abstractly complete ring of sets;2) The complete congruence lattice con c(L) of L is isomorphic to the dual lattice (P c(L)) of the power set of the set P c(L) of all completely prime ideals of LL is an abstractly complete ring of sets.