The Strong Congruences and Clifford Congruences on An Orthodox Semigroup
Zhu Jin-hua · Shuxue de shijian yu renshi · 2010
The concept of normal partition on E(S),due to N.R.,Reilly,are generalized to the case of orthodox semigroups,by using it a new stucture theorem for strong congruences on an orthodox semigroup S is given from another point of view,and the regular kernel normal system of the join and the meet of two strong congrunce which are belong to the same T-class are discussed,In the final section,so-called Clifford congruncesρon S are discussed,the existence and the structure of the minimum Clifford congrunce on S are provided.