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Division theorems for inverse and pseudo-inverse semigroups

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

F. Pastijn
F. Pastijn
Affiliation:
Dienst Hogere Meetkunde, Rijksuniversiteit te Gent, Krijgslaan 271, B-9000 Gent, Belgium
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Abstract

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We show that every inverse semigroup is an idempotent separating homomorphic image of a convex inverse subsemigroup of a P-semigroup P(G, L, L), where G acts transitively on L. This division theorem for inverse semigroups can be applied to obtain a division theorem for pseudo-inverse semigroups.

MSC classification

Secondary: 20M10: General structure theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 31 , Issue 4 , December 1981 , pp. 415 - 420
Copyright
Copyright © Australian Mathematical Society 1981

References

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