关于具有Q-逆断面的正则半群上的同余

On congruences of regular semigroups with Q-inverse transversals

对具有Q-逆断面的正则半群S的基于子半群I,L为构件的结构,引入了I,L上的同余的相容条件及用I和L上同余作成的同余对的概念,给出了S上的相应的同余刻划.用给出同余刻划方法描述了逆半群同余、群同余和幂等分离同余.

The paper studied regular semigroups with Q-inverse transversals on the basis of the structure related to the build bricks I and L. We obtained the so-called congruence pair based on Saito＇s structure theorem, so that it produces a congruence on S abstractly. We also described the inverse semigroup congruence and the group congruence and the idempotent-separating congruence on S.