Regularity and complete distributivity

DOI10.1007/BF02572509zbMath0429.20056OpenAlexW1980797641MaRDI QIDQ1137654

Hans-Jürgen Bandelt

Publication date: 1980

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134376

zbMATH Keywords

regular elementsemigroup of binary relations

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (14)

Completely precontinuous posets. ⋮ Relational representations of algebraic lattices and their applications ⋮ Choice-free dualities for domains ⋮ Complete congruences on topologies and down-set lattices ⋮ Split Hausdorff internal topologies on posets ⋮ Normally conjugative relations ⋮ Regular relations and strictly completely regular ordered spaces. ⋮ Regular elements in sandwich semigroups of binary relations ⋮ Dually normal relations on sets ⋮ Regularity vs. constructive complete (co)distributivity ⋮ Conjugative relations and applications ⋮ Weak finitely regular relations and applications ⋮ On regularity of sup-preserving maps: generalizing Zareckiĭ's theorem ⋮ Distributive laws for concept lattices

Cites Work

• Regular elements of the semigroup of all binary relations
• Idempotents and product representations with applications to the semigroup of binary relations
• Tight Galois Connections and Complete Distributivity
• A Theorem on the Semigroup of Binary Relations
• A Subdirect-Union Representation for Completely Distributive Complete Lattices

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