Representation of Congruences on Regular Semigroups with Inverse Transversals

摘要

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