摘要
刻画P-正则半群上的特征迹关系κ.给出任一强P-同余所在κ-类中最大元的结构,并证明每个κ-类均为强P-同余格Λp(S)的完备子格,最后给出任意2个强P-同余具有κ-关系的几种等价条件.
The characteristic kernel relation κof a P-regular semigroup S (P) is described. For a given strong P-congruence rho it is given that the structures of the greatest element of the κ-class of rho. Moreover it is proved that each κ-class of a strong P-congruence is a complete sublattice of the class of Ap (S). Finally several equivalent conditions are given for two strong P-congruences to have a κ-relation.
出处
《成都信息工程学院学报》
2007年第6期760-763,共4页
Journal of Chengdu University of Information Technology
基金
成都信息工程学院科研基金资助项目(CRF200703)
关键词
P-正则半群
强P-同余
特征核关系κ
正则*-半群
P-regular semigroup
strong P-congruence
characteristic kernel relation κ regular *-semigroup