由序滤子确定的滤子

通过格蕴涵代数的序滤子,得到了格蕴涵代数的一类由该序滤子所确定的滤子.首先,研究了该类滤子的性质;其次,并得到了格蕴涵代数的序滤子做成滤子的充分必要条件;最后,研究该类滤子的结构.

Regular Congruence Classes of Ordered Semigroups

The aim of this paper is to determine the subset of an ordered semigroup S that can serve as a class of some regular congruences on S. The results on semigroups without order given in [5] can be obtained as consequences.