幂等扩张的分配格的同余可换性
ON IDEMPOTENT EXTENDED DISTRIBUTIVE LATTICES WHOSE CONGRUENCES ARE PERMUTABLE

本文研究了幂等扩张的有界分配格的同余可换性问题.利用幂等扩张的有界分配格的对偶理论,得到了同余可换的幂等扩张的有界分配格的一个充分必要条件,推广了Davey和Priestley关于有界分配格的一些结果.
In this paper, we study the idempotent extended bounded distributive lattices whose congruence are permutable. By the dual theory of idempotent extended distributive lattices, we get a necessary and sufficient condition of congruence permutable idempotent extended distributive lattices. Some results obtained by Davey and Priestley on bounded distributive lattices are generalized