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math.RA2014
Diagrams and rectangular extensions of planar semimodular lattices
Gábor Czédli
In 2009, G. Grätzer and E. Knapp proved that every planar semimodular lattice has a rectangular extension. We prove that, under reasonable additional conditions, this extension is…
math.RA2014
Representing some families of monotone maps by principal lattice congruences
Gábor Czédli
For a lattice L with 0 and 1, let Princ L denote the ordered set of principal congruences of L. For {0,1}-sublattices A subseteq B of L, congruence generation defines a natural map…