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Some remarks on modularity of the congruence lattice of regular ω-semigroups
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper conditions of M-symmetry, strong, semimodularity and θ-modularity for the congruence lattice L (S) of a regular ω-semigroup S are studied. They are proved to be equivalent to modularity. Moreover it is proved that the kernel relation is a congruence on L(S) if and only if L(S) is modular, generalizing an analogous result stated by Petrich for bisimple ω-semigroups.
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- Copyright © Australian Mathematical Society 1995
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