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arxiv: 1403.3875 · v5 · pith:YRC6JVQOnew · submitted 2014-03-16 · 🧮 math.RA

On a result of G\'abor Cz\'edli concerning congruence lattices of planar semimodular lattices

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keywords latticeplanarsemimodularaborcongruenceedlilatticesresult
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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 G\'abor Cz\'edli 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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