论文部分内容阅读
Let S be an orthodox semigroup and γγ the least inverse congruence on S. C(S) denotes the set of all congruences on S. In this paper we introduce the conceptof admissible triples for S, where admissible triples are constructed by the congruences on S/γ, the equivalences on E(S)/L and E(S)/R. The notation Ca(S)denotes the set of all admissible triple for S. We prove that every congruence p on S can be uniquely determined by the admissible triple induced by p, and there exists a lattice isomomorphism between C(S) and Ca(S).