完备素理想和抽象完备集环

Completely Prime Ideals and Abstractly Complete Rings of Sets

推广分配格的 Stone引理到抽象完备集环并得到 :1 )完备格 L上完备同余关系能够由完备素理想表示 L是抽象完备集环 ;2 )完备格 L上的完备同余关系格 conc( L)同构到 Pc( L)的对偶幂集格 P( Pc( L) )

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 LL 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 LL is an abstractly complete ring of sets.