Finite Semigroups Whose Idempotents Commute or Form a Subsemigroup

Jean-Camille Birget, Stuart Margolis and John Rhodes
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Jean-Camille Birget: University of Nebraska, Department of Computer Science
Stuart Margolis: University of Nebraska, Department of Computer Science
John Rhodes: University of California, Department of Mathematics

A chapter in Semigroups and Their Applications, 1987, pp 25-35 from Springer

Abstract: Abstract We give a new proof that every finite semigroup whose idempotents commute divides a finite inverse semigroup (Ash’s theorem), and, more generally, we prove that every finite semigroup whose idempotents form a subsemigroup divides a finite orthodox semigroup.

Keywords: Symmetric Group; Inverse Semigroup; Regular Semigroup; Start State; Homomorphic Image (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3839-7_3

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DOI: 10.1007/978-94-009-3839-7_3

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