摘要
证明了正则半群上的所有强同余构成该半群同余格的完备子格,刻画了与强同余对应的核-迹同余对-强同余对及其相互关系,由此给出正则半群上任一强同余的结构,并证明了强同余格和强同余对的集合之间一一对应.
The aim of this paper is to study inverse sernigroup congruences on an arbitrary regular semigroup S called strong congruence. It is proved that the set .FB（S） of ＇,all strong congrunees on S forms a complete sublattiee of the congruence lattice FB（S） of S. Furthermore., the kernel-trace congrunce pairs corresponding to the strong congruences, i.e. , strong eongrunee pairs as well as the relationship between them are characterized. By using these, a structure theorem for strong congruences on S is given. It is also proved that there exists a bijection between the lattice .FB（S） and the set of all strong congrunee pairs of the regular semigroup S.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第6期708-713,共6页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金(10471112)资助项目
关键词
正则半群
强同余
强同余对
Regular semigroups
Strong congruences
Strong congruence pairs
