摘要
用Stone代数的素理想集刻划了Stone代数的每一个同余关系,并证明了Con(L)可以嵌入于Z(P(L))中。由此证得了Stone代数的同余扩张性。
In this PaPer,any congruences relation of Stone algebra is characterized by the sets of Prime ideals of Stone algebras,and we embed Con(L) into the lattice Z(P(L)). By this result,the author have Proved the congruences extension Property of Stone algebras,and given identity,which the congruences ideals of Stone algebras is characterized by set of Prime ideals of Stone algebras.