Abstract
LetSbe an inverse semigroup with semilattice of idempotentsE, and letρbe a congruence onS. Thenρis said to beidempotent-determined[2], or I.D. for short, if (a, b) ∈ р anda∈Eimply thatb∈E. If, further,ρis a group congruence, then clearlyρis the minimum group congruence onS, and in this caseSis said to beproper[8]. LetT=S/ρ.
Publisher
Cambridge University Press (CUP)
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