偏序半群中的最小滤子  

The least filters in po-semigroups

作　　者：周含策[1] 

机构地区：[1]西北大学数学系,陕西西安710069

出　　处：《西北大学学报（自然科学版）》2000年第1期4-6,共3页Journal of Northwest University（Natural Science Edition）

摘　　要：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 nThe 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?

关 键 词：偏序半群 最小滤子 最小半格同余 

分 类 号：O152.7[理学—数学]