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Natural extension of a congruence of a lattice to its lattice of convex sublattices. (English) Zbl 1249.06007

The paper describes the extension of a lattice congruence to a congruence on the lattice of convex sublattices. It is shown that the construction preserves representability and that it is compatible with the “convex sublattices” operator.
Reviewer: David Kruml (Brno)

MSC:

06B10 Lattice ideals, congruence relations
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