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Modularity of the lattice of congruences of a regular ω-semigroup*
Published online by Cambridge University Press: 20 January 2009
Abstract
In this paper a characterization of the regular ω-semigroups whose congruence lattice is modular is given. The characterization obtained for such semigroups generalizes the one given by Munn for bisimple ω-semigroups and completes a result of Baird dealing with the modularity of the sublattice of the congruence lattice of a simple regular ω-semigroup consisting of congruences which are either idempotent separating or group congruences.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 3 , October 1990 , pp. 405 - 417
- Copyright
- Copyright © Edinburgh Mathematical Society 1990
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