Representing finite distributive lattices as congruence lattices of lattices
classification
🧮 math.RA
keywords
latticefinitecongruencedistributivelatticeseverynicerepresented
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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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