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Division theorems for inverse and pseudo-inverse semigroups
Published online by Cambridge University Press: 09 April 2009
Abstract
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
- 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