摘要
本文研究伪补分配格 L的 * -同余关系的基本性质 .主要给出了 :(1)主同余θ* (a,b)的一个具体刻划 ;(2 )理想 I成为同余理想的一个充要条件和以 I为核的最小 * -同余 θ* (I) ;(3) L上的格同余θL(a,b)成为 * -同余的若干充要条件 .其中的大部分结果改进或包含了已有的结论 .
Let L be a pseudo complemented distributive lattice.We obtain a necessary and sufficient condition that an ideal of L is a congruence ideal,and some necessary and sufficient conditions that the lattice congruence θ L(a,b) becomes * congruence on L We also characterize the principal congruence θ *(a,b) and the smallest * congruence whose kernel is a congruence ideal.The partical results in this paper generalize ones given in papers [1,2,3]
出处
《数学杂志》
CSCD
2000年第2期133-138,共6页
Journal of Mathematics
关键词
伪补分配格
STONE代数
＊-同余
同余理想
pseudo complemented distributive lattices
Stone algebras
* congruences
principal congruences
congruence ideals.
