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Using the Swing Lemma and -diagrams for congruences of planar semimodular lattices
George Grätzer
A planar semimodular lattice is \emph{slim} if is not a sublattice of~. In a recent paper, G. Czédli found four new properties of congruence lattices of sli…
Characterizing representability by principal congruences for finite distributive lattices with a join-irreducible unit element
George Grätzer
For a finite distributive lattice , let us call \emph{principal congruence representable}, if there is a finite lattice such that the congruence lattice of $…
Applying the Czédli-Schmidt Sequences to congruence properties of planar semimodular lattices
G. Grätzer
Following G.~Grätzer and E.~Knapp, 2009, a planar semimodular lattice is \emph{rectangular}, if~the left boundary chain has exactly one doubly-irreducible element, , and t…
Atom-generated planar lattices
G. Grätzer
In this note, we discuss planar lattices generated by their atoms. We prove that if is a planar lattice generated by atoms, then both the left and the right boundaries of $…
Using the Swing Lemma and Czédli diagrams for congruences of planar semimodular lattices
George Grätzer
A planar semimodular lattice is \emph{slim} if is not a sublattice of~. In a recent paper, G. Czédli found four new properties of congruence lattices of slim,…