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Modularity of the lattice of congruences of a regular ω-semigroup*

Published online by Cambridge University Press:  20 January 2009

C. Bonzini  and
A. Cherubini
C. Bonzini
Affiliation:
Dipartimento Di MatematicaUniversitàVia Saldini, 5020133, Milano, Italy
A. Cherubini
Affiliation:
Dipartimento Di MatematicaPolitecnicoPiazza L. Da Vinci, 3220133, Milano, Italy
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Abstract

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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

References

REFERENCES

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