20 citations · 41 across the 14 of their papers we have counts for
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Length-preserving extensions of semimodular lattices by lowering join-irreducible elements
Gábor Czédli
We prove that if is a join-irreducible element of a semimodular lattice of finite length and in such that does not cover , then can be "lowered" to a c…
Revisiting Faigle geometries from a perspective of semimodular lattices
Gábor Czédli
In 1980, U. Faigle introduced a sort of finite geometries on posets that are in bijective correspondence with finite semimodular lattices. His result has almost been forgotten in l…
Absolute retracts for finite distributive lattices and slim semimodular lattices
Gábor Czédli, Ali Molkhasi
We describe the absolute retracts for the following classes of finite lattices: (1) slim semimodular lattices, (2) finite distributive lattices, and for each positive integer ,…
Slim patch lattices as absolute retracts and maximal lattices
Gábor Czédli
Patch lattices, introduced by G. Czédli and E.T. Schmidt in 2013, are the building stones for slim (and so necessarily finite and planar) semimodular lattices with respect to gluin…
(1+1+2)-generated lattices of quasiorders
Delbrin Ahmed, Gábor Czédli
A lattice is -generated if it has a four-element generating set such that exactly two of the four generators are comparable. We prove that the lattice Quo of all quas…
Cyclic congruences of slim semimodular lattices and non-finite axiomatizability of some finite structures
Gábor Czédli
We give a new proof of the fact that finite bipartite graphs cannot be axiomatized by finitely many first-order sentences among FINITE graphs. (This fact is a consequence of a gene…
Lamps in slim rectangular planar semimodular lattices
Gábor Czédli
A planar (upper) semimodular lattice is slim if the five-element nondistributive modular lattice does not occur among its sublattices. (Planar lattices are finite by defi…