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A regular completion for the variety generated by the three-element Heyting algebra. (English) Zbl 1229.06001

Summary: We show that the variety generated by the three-element Heyting algebra admits a meet dense, regular completion even though it is not closed under MacNeille completions.

MSC:

06B23 Complete lattices, completions
06D20 Heyting algebras (lattice-theoretic aspects)
06B20 Varieties of lattices