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A generalization of the Hall semigroup of a band
Part of:
Semigroups
Published online by Cambridge University Press: 09 April 2009
Abstract
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Let E be a band and ε a compatible partition on it. If S is an orthodox semigroup with band of idempotents E such that there exists a congruence on S inducing the partition ε then we define a homomorphism of S into a Hall semigroup whose kernel is the greatest congruence on S inducing the partition ε. On the other hand, we define a subsemigroup 
of the Hall semigroup WE possessing the property that S is an othodox semigroup with band of idempotents E which has a congruence inducing ε if and only if the range of the Hall homomoprhism of S into WE is contained in .
MSC classification
Secondary:
20M10: General structure theory
- Type
- Research Article
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- Copyright
- Copyright © Australian Mathematical Society 1980
References
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