Representation of type A monoids
U. Asibong-Ibe · Bulletin of the Australian Mathematical Society · 1991
A semigroup T consisting of one-one mapping between certain principal left ideals in a type A semigroup S is constructed. T is shown to be a type A semigroup. A representation of S by T is then obtained which is analogous to Vagner-Preston's results on inverse semigroups.