14 citations · 17 across the 7 of their papers we have counts for
17 papers · 1 filter
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…
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…
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…
Four-generated direct powers of partition lattices and authentication
Gábor Czédli
For an integer , H. Strietz (1975) and L. Zádori (1986) proved that the lattice Part of all partitions of is four-generated. Developing L. Zádori's…
On the number of atoms in three-generated lattices
Gábor Czédli
As the main achievement of the paper, we construct a three-generated, 2-distributive, atomless lattice that is not finitely presented. Also, the paper contains the following three…