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arXiv · 1705.05319

Some preliminary results on the set of principal congruences of a finite lattice

G. Grätzer·H. Lakser
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Abstract

In the second edition of the congruence lattice book, Problem 22.1 asks for a characterization of subsets $Q$ of a finite distributive lattice $D$ such that there is a finite lattice $L$ whose congruence lattice is isomorphic to $D$ and under this isomorphism $Q$ corresponds the the principal congruences of $L$. In this note, we prove some preliminary results.

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G. Grätzer, H. Lakser. 2017-05-15. Some preliminary results on the set of principal congruences of a finite lattice. https://arxiv.org/abs/1705.05319

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