A characterization of adequate semigroups by forbidden subsemigroups
Published online by Cambridge University Press: 03 December 2013
Abstract
A semigroup is amiable if there is exactly one idempotent in each ℛ*-class and in each ℒ*-class. A semigroup is adequate if it is amiable and if its idempotents commute. We characterize adequate semigroups by showing that they are precisely those amiable semigroups that do not contain isomorphic copies of two particular non-adequate semigroups as subsemigroups.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 6 , December 2013 , pp. 1115 - 1122
- Copyright
- Copyright © Royal Society of Edinburgh 2013
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