偏序半群中的最小滤子

The least filters in po-semigroups

给出了偏序半群中最小滤子的构造 ,以及几种特殊的偏序半群 ,其中的最小滤子有简单的形式 ,给出了偏序半群上最小半格同余 n与最小正则半格同余 N相等的一个充分必要条件 ,并提出一个问题 ,即 Nm( x) =Nm( x)是否为 n

The structure of the least filters in po semigroups was given, So were some special kinds of po semigroups, in which the least filters have simple forms. A necessary and sufficient condition was proved for a po semigroup to have the property that its least semilattice congruence n and its least regular semilattice congruence N coincide. A question was posed, i.e., is N m(x)= m(x) necessary for n=N?