Some Properties of Hall–Yamada Semigroups Original Research Article

The Hall–Yamada structure theorem for orthodox semigroups utilizes the orthodox semigroupimage(B, T, ψ) which is built up from a bandB, an inverse semigroupT, and a morphism ψ fromTintoWB/γ, whereWBis the Hall semigroup ofBand γ is its least inverse semigroup congruence. In this paper we cosmetically alterimage(B, T, ψ) and then proceed to characterize properties of this altered semigroup in terms of properties of (B, T, ψ).