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arXiv · 2205.10922

On a property of congruence lattices of slim, planar, semimodular lattices

George Grätzer
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Abstract

In a 2121 paper with G\'abor Cz\'edli, we introduced and verified the Three-pendant Three-crown Property, 3P3C, for congruence lattices of slim, planar, semimodular lattices. The proof is very long; in part, because it relies on Cz\'edli's 2021 paper on lamps. This paper verifies 3P3C using the Swing Lemma, an elementary and short approach.

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George Grätzer. 2022-05-22. On a property of congruence lattices of slim, planar, semimodular lattices. https://arxiv.org/abs/2205.10922

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