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.
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© 1987 D. Reidel Publishing Company
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Birget, JC., Margolis, S., Rhodes, J. (1987). Finite Semigroups Whose Idempotents Commute or Form a Subsemigroup. In: Goberstein, S.M., Higgins, P.M. (eds) Semigroups and Their Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3839-7_3
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DOI: https://doi.org/10.1007/978-94-009-3839-7_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8209-9
Online ISBN: 978-94-009-3839-7
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