Congruence structure of planar semimodular lattices: The General Swing Lemma

preprint2022arXivOpen access

Abstract

The Swing Lemma of the second author describes how a congruence spreads from a prime interval to another in a slim (having no M3M_3 sublattice), planar, semimodular lattice. We generalize the Swing Lemma to planar semimodular lattices.

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