Atoms of the lattices of residuated mappings

DOI10.12697/ACUTM.2023.27.22zbMATH Open1537.06001MaRDI QIDQ6542697

Sándor Radeleczki, Kalle Kaarli

Publication date: 22 May 2024

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

complete latticeprojective planeFano planeresiduated mappingdecreasing pairFano latticeminimal (maximal) residuated mappingtolerance simple latticeweakly regular residuated mapping

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Cites Work

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• Sublattices of the direct product
• Representation of integral quantales by tolerances
• Lattices and ordered algebraic structures
• The structure of Galois connections
• On the Lattice of All Join-Endomorphisms of a Lattice
• Tight Galois Connections and Complete Distributivity
• Order affine completeness of lattices with Boolean congruence lattices
• Tolerances and congruences on lattices
• Representation Theorems for Quantales

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