Isotone maps on lattices

DOI10.1007/s00012-012-0191-2zbMath1272.06013arXiv1103.1339OpenAlexW2018059473MaRDI QIDQ1762477

George M. Bergman, George Grätzer

Publication date: 27 November 2012

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

Full work available at URL: https://arxiv.org/abs/1103.1339

zbMATH Keywords

isotone mapsemilatticevarieties of latticesfree lattice on a partial latticefree product of latticesprevarieties of latticesquasivarieties of lattices

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Varieties of lattices (06B20) Free lattices, projective lattices, word problems (06B25)

Related Items (4)

Isotone extensions and complete lattices ⋮ \(p\)-adic metric preserving functions and their analogues ⋮ Ultrametric preserving functions and weak similarities of ultrametric spaces ⋮ Projective ordinal sums of lattices and isotone sections

Cites Work

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• Products of lattice varieties
• An elementary proof that there are no non-trivial injective lattices
• Projective lattices
• Categorial characterization of the MacNeille completion
• Injectives in non-distributive equational classes of lattices are trivial
• The category of semilattices
• Lattice Theory: Foundation
• A Property of Transferable Lattices
• Free products of lattices
• Injective Hulls of Semilattices

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