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arXiv · 1309.7511

Representing finite distributive lattices as congruence lattices of lattices

George Grätzer
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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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George Grätzer. 2013-09-28. Representing finite distributive lattices as congruence lattices of lattices. https://arxiv.org/abs/1309.7511

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