English

Congruence structure of planar semimodular lattices: The General Swing Lemma

Rings and Algebras 2022-08-04 v1

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.

Keywords

Cite

@article{arxiv.2208.02134,
  title  = {Congruence structure of planar semimodular lattices: The General Swing Lemma},
  author = {Gábor Czédli and George Grätzer and Harry Lakser},
  journal= {arXiv preprint arXiv:2208.02134},
  year   = {2022}
}