1 citations · 1 across the 5 of their papers we have counts for
6 papers
Congruence structure of planar semimodular lattices: The General Swing Lemma
Gábor Czédli, George Grätzer, Harry Lakser
The Swing Lemma of the second author describes how a congruence spreads from a prime interval to another in a slim (having no sublattice), planar, semimodular lattice. We gen…
Homomorphisms of distributive lattices as restrictions of congruences. III. Rectangular lattices and two convex sublattices
George Grätzer, Harry Lakser
Let be a finite lattice and let be an ideal of . Then the restriction map is a bounded lattice homomorphism of the congruence lattice of~ into the congruence lattice…
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…
Revisiting the representation theorem of finite distributive lattices with principal congruences
G. Grätzer, H. Lakser
A classical result of R.\,P. Dilworth states that every finite distributive lattice can be represented as the congruence lattice of a finite lattice~. A~sharper form was pub…
Some preliminary results on the set of principal congruences of a finite lattice
G. Grätzer, H. Lakser
In the second edition of the congruence lattice book, Problem 22.1 asks for a characterization of subsets of a finite distributive lattice such that there is a finite latti…
Congruence amalgamation of lattices
George Grätzer, Harry Lakser, Friedrich Wehrung
J. Tuma proved an interesting "congruence amalgamation" result. We are generalizing and providing an alternate proof for it. We then provide applications of this result: --A.P. Huh…