Cometic functors and representing order-preserving maps by principal lattice congruences

DOI10.1007/s00012-018-0545-5zbMath1472.06005OpenAlexW2886420071WikidataQ129480677 ScholiaQ129480677MaRDI QIDQ1991590

Gábor Czédli

Publication date: 30 October 2018

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: http://publicatio.bibl.u-szeged.hu/14525/1/czedli_cometic-functors-and-representing-order-preserving-maps-by-principallattice-congruences.pdf

zbMATH Keywords

posetordered setisotone mappreorderingnatural transformationmonotone mapprincipal congruenceinjective mapmonomorphismquasiorderinglattice congruencelifting diagramsquasi-colored latticecometic functorcometic projection

Mathematics Subject Classification ID

Lattice ideals, congruence relations (06B10) Preorders, orders, domains and lattices (viewed as categories) (18B35)

Related Items (5)

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 ⋮ On the largest numbers of congruences of finite lattices

Cites Work

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• 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
• Representing some families of monotone maps by principal lattice congruences
• Representing a monotone map by principal lattice congruences
• From objects to diagrams for ranges of functors
• Congruences and prime-perspectivities in finite lattices.
• Uniform congruence schemes
• Jónsson's contributions to lattice theory
• A solution to Dilworth's congruence lattice problem
• A technical lemma for congruences of finite lattices
• Schmidt and Pudlák’s Approaches to CLP
• Homomorphisms and principal congruences of bounded lattices I. Isotone maps of principal congruences
• Lattice Theory: Foundation
• Congruence Lattices of Finite Semimodular Lattices
• Free trees and the optimal bound in Wehrung's theorem

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