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arXiv · 1403.3875

On a result of Gábor Czédli concerning congruence lattices of planar semimodular lattices

George Grätzer
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Abstract

A planar semimodular lattice is slim if it does not contain $M_3$ as a sublattice. An SPS lattice is a slim, planar, semimodular lattice. A recent result of Gábor Czédli proves that there is an eight element (planar) distributive lattice that cannot be represented as the congruence lattice of an SPS lattice. We provide a new proof.

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George Grätzer. 2014-04-28. On a result of Gábor Czédli concerning congruence lattices of planar semimodular lattices. https://arxiv.org/abs/1403.3875

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