G'abor Cz'edli

activity

20122021

most citedCoordinatization of join-distributive lattices

20 citations · 41 across the 14 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.RA2017★ 14 cited

A note on finite lattices with many congruences

Gábor Czédli

By a twenty year old result of Ralph Freese, an $n$ -element lattice $L$ has at most $2^{n - 1}$ congruences. We prove that if $L$ has less than $2^{n - 1}$ congruences, then it has at…

math.RA2017

On principal congruences and the number of congruences of a lattice with more ideals than filters

Gábor Czédli, Claudia Mureşan

Let $λ$ and $κ$ be cardinal numbers such that $κ$ is infinite and either $2 \leq λ \leq κ$ , or $λ = 2^{κ}$ . We prove that there exists a lattice $L$ with exactly $λ$ many congruences, $2…

math.RA2017

On the set of principal congruences in a distributive congruence lattice of an algebra

Gábor Czédli

Let $Q$ be a subset of a finite distributive lattice $D$ . An algebra $A$ represents the inclusion $Q \subseteq D$ by principal congruences if the congruence lattice of $A$ is isomor…