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math.RA2021
Minimal representations of a finite distributive lattice by principal congruences of a lattice
G. Grätzer, H. Lakser
Let the finite distributive lattice be isomorphic to the congruence lattice of a finite lattice . Let denote those elements of that correspond to principal congruenc…
math.RA2021
Zilber's Theorem for planar lattices, revisited
Kirby A. Baker, George Grätzer
Zilber's Theorem states that a finite lattice is planar if{}f it has a complementary order relation. We provide a new proof for this crucial result and discuss some application…
math.RA2021
Notes on planar semimodular lattices. VIII. Congruence lattices of SPS lattices
G. Grätzer
In this note, I find a new property of the congruence lattice, Con, of an SPS lattice (slim, planar, semimodular, where "slim" is the absence of~ sublattices) w…