Stone代数的同余理想与Stone代数滤子

Congruence Ideal of Stone Algebra and Stone Algebra Filter

本文给出了Stone代数L的理想I＝（d]成为某个同余关系的核的充要条件，刻划了以L的同余理想I＝（d]为核的最小同余关系；引入了Stone代数滤子的概念，讨论了Stone代数滤子[d）与Stone代数的同余理想（d]之间的关系。

In this paper,we have given a sufficient and necessary condition that an ideal of Stone algebra is congruence ideal.A concept of Stone algebra filter is introduced.We discuss the relation between Stone algebra filter and congraence ideal of Stone algebra.