9 citations · 12 across the 11 of their papers we have counts for
8 papers · 1 filter
Generating subspace lattices, their direct products, and their direct powers
Gábor Czédli
In 2008, László Zádori proved that the lattice Sub of all subspaces of a vector space of finite dimension at least 3 over a finite field has a 5-element generating set…
Lattice tolerances and congruences
Gábor Czédli, George Grätzer
We prove that a tolerance relation of a lattice is a homomorphic image of a congruence relation.
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…
Notes on congruence lattices and lamps of slim semimodular lattices
Gábor Czédli
Since their introduction by G. Grätzer and E. Knapp in 2007, more than four dozen papers have been devoted to finite slim planar semimodular lattices (in short, SPS lattices or sli…
Retracts of rectangular distributive lattices and some related observations
Gábor Czédli
By a rectangular distributive lattice we mean the direct product of two non-singleton finite chains. We prove that the retracts (ordered by set inclusion and together with the empt…
A property of meets in slim semimodular lattices and its application to retracts
Gábor Czédli
Slim semimodular lattices were introduced by G. Grätzer and E. Knapp in 2007, and they have intensively been studied since then. It is often reasonable to give these lattices by th…