Representing a monotone map by principal lattice congruences

DOI10.1007/S10474-015-0539-0zbMath1374.06007OpenAlexW1132841840MaRDI QIDQ519983

Gábor Czédli

Publication date: 31 March 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: http://publicatio.bibl.u-szeged.hu/14547/7/actamathhung_047_001_content.pdf

zbMATH Keywords

posetorderordered setpreorderingmonotone mapprincipal congruencequasiorderinglattice congruencequasi-colored lattice

Mathematics Subject Classification ID

Lattice ideals, congruence relations (06B10)

Related Items (9)

Characterizing fully principal congruence representable distributive lattices ⋮ Some preliminary results on the set of principal congruences of a finite lattice ⋮ Representing an isotone map between two bounded ordered sets by principal lattice congruences ⋮ Homomorphisms and principal congruences of bounded lattices. II. Sketching the proof for sublattices ⋮ Homomorphisms and principal congruences of bounded lattices. III. The independence theorem ⋮ On the set of principal congruences in a distributive congruence lattice of an algebra ⋮ Representing some families of monotone maps by principal lattice congruences ⋮ Cometic functors and representing order-preserving maps by principal lattice congruences ⋮ On the largest numbers of congruences of finite lattices

Cites Work

• The ordered set of principal congruences of a countable lattice.
• The order of principal congruences of a bounded lattice
• Representing homomorphisms of distributive lattices as restrictions of congruences of rectangular lattices
• A solution to Dilworth's congruence lattice problem
• Congruence Lattices of Finite Semimodular Lattices
• Free trees and the optimal bound in Wehrung's theorem
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