作　　者： ; ;

机构地区： 五邑大学

出　　处： 《纯粹数学与应用数学》 1996年第2期73-77,共5页

摘　　要： 引入了偏序半群左基的概念．给出了一个偏序半群左基的存在性与极大左理想之间的关系．最后还讨论了在什么情况下左基的存在能导出基的存在性．作为应用。 The concepts of left bases (resp. bases) of an ordered semigroups are introduced The existence theorems of left bases of an ordered semigroup S and the relationship between left bases and maximal left ideals of S are characterized Finally, we prove that if S contains left bases A and A is finite, then S contains the bases The corresponding results on semigroups without order are obtained as an application of the results of this paper in the way indicated in

关 键 词： 左理想 偏序半群 左基 右理想 半群

领　　域： [理学] [理学]