偏序半群的左基  

ON LEFT BASES IN ORDERED SEMIGROUPS

作　　者：谢祥云[1] 赵宪钟[2] 

机构地区：[1]五邑大学 [2]西北大学

出　　处：《纯粹数学与应用数学》1996年第2期73-77,共5页Pure and Applied Mathematics

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 

分 类 号：O152.7[理学—数学]