具有逆断面的正则半群的同余的表示

Representation of Congruences on Regular Semigroups with Inverse Transversals

具有道断面S°的正则半群可表示为有Saito's结构的半群W（I，S°，Λ，*，α，β）.我们利用由I，S°和Λ上的同余构成的所谓同余聚抽象地表示这类半群上的同余，进而给出了这类半群的同态象的构造法．

For a regular semigroup with an inverse transversal S0, we have Saito's structure W(I, S°, A, *, α, β). We represented congruences on this kind of semigroups by the so called congruence assemblage abstractly which consist of congruences on the structure component parts I, S°and A. The structure of images of this type of semigroups is also presented.