半群上的自然偏序关系  

The Natural Partial Order for Semi-groups

作　　者：黄学军[1] 

机构地区：[1]乐山师范学院数学系,四川乐山614004

出　　处：《内江师范学院学报》2011年第12期6-8,共3页Journal of Neijiang Normal University

摘　　要：主要介绍正则半群、单半群、逆半群上的偏序关系,对它们的性质作了一些简单的讨论并得到两个关于偏序关系的结论:一个关于周期单半群与完全单半群的关系,另一个是逆半群上定义的序关系与同余关系之间的关系.The order relation, as one important relation in the algebra system, is an indispensable tool in algebra study. Several kinds of semigroups, for instance, the regular semigroup, the simple semigroup, the inverse semigroup, together with their respective partial order relations, are introduced. A brief discussion is made of their properties, which produces two conclusions .. one is the relation between the periodic simple semigroup and the complete simple semigroup ; the other is the relation between the order relation defined in the inverse semigroup and its congruence relation.

关 键 词：偏序关系 完全单半群 逆半群 群同余 

分 类 号：O151.2[理学—数学]