Representing finite distributive lattices as congruence lattices of lattices
Abstract
Dilworth's theorem. Every finite distributive lattice D can be represented as the congruence lattice of a finite lattice L. We want: Every finite distributive lattice D can be represented as the congruence lattice of a nice finite lattice L. nice = sectionally complemented, uniform, semimodular, given automorphism group, regular, uniform, isoform
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