J Austral Math Soc Ser A 43 pp81--90, 1987.

Finite Semigroups with Commuting Idempotents

C. J. Ash

(Received 15 July 1985)

Abstract

We show that every such semigroup is a homomorphic image of a subsemigroup of some finite inverse semigroup. This shows that the pseudovariety generated by the finite inverse semigroups consists of exactly the finite semigroups with commuting idempotents.

1980 AMS Subject Classification: primary 20M10; secondary 20M35

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Authors

C. J. Ash: Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia.

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Last Modified: Wed Feb 26 16:48:07 2003