Abstract
The Hall–Yamada structure theorem for orthodox semigroups utilizes the orthodox semigroupH(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 alterH(B,T,ψ) and then proceed to characterize properties of this altered semigroup in terms of properties of (B,T,ψ).
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