弱可乘纯正断面  

On Weakly Multiplicative Orthodox Transversals

作　　者：孔祥军[1] 王蓓[2] 

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165 [2]曲阜师范大学职教学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2006年第4期43-45,共3页Journal of Qufu Normal University(Natural Science)

基　　金：曲阜师范大学科研启动基金资助项目

摘　　要：引入了纯正断面是可乘的和弱可乘的概念,证明了正则半群的纯正断面是可乘的充要条件是它是弱可乘的且是拟理想.研究了弱可乘纯正断面的一些性质,给出了纯正断面是弱可乘的两个等价条件.In this paper, the concept of multiplicativity and weakly multiplicativity orthodox transversal are introduced. An orthodox transversal of a regular semigroup is multiplieative if and only if it is both weakly multiplieative and a quasi-ideal is obtained. Some properties on weakly multiplieative orthodox transversal are given, and two equivalent conditions for orthodox transversals which are weakly multiplieatire are obtained.

关 键 词：逆断面 纯正断面 拟理想 

分 类 号：O152.7[理学—数学]