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On congruence compact monoids
Part of:
Semigroups
Published online by Cambridge University Press: 26 February 2010
Abstract
A universal algebra is called congruence compact if every family of congruence classes with the finite intersection property has a non-empty intersection. This paper determines the structure of all right congruence compact monoids S for which Green's relations ℐ and ℋ coincide. The results are thus sufficiently general to describe, in particular, all congruence compact commutative monoids and all right congruence compact Clifford inverse monoids.
MSC classification
Secondary:
20M10: General structure theory
- Type
- Research Article
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- Copyright
- Copyright © University College London 1999
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