Universal and internal properties of some completions of k-join-semilattices and k-join-distributive partially ordered sets.

DOI10.1515/crll.1972.255.8zbMath0263.06004OpenAlexW4242830522MaRDI QIDQ5678903

Jürgen Schmidt

Publication date: 1972

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/151229

Mathematics Subject Classification ID

Partial orders, general (06A06) Complete lattices, completions (06B23) Structure theory of lattices (06B05)

Related Items (9)

Representations of bornologies ⋮ Generalization of Continuous Posets ⋮ CLOSURE OPERATORS, FRAMES AND NEATEST REPRESENTATIONS ⋮ Crawley completions of residuated lattices and algebraic completeness of substructural predicate logics ⋮ Join-completions of partially ordered algebras ⋮ Lexicographic ideals and the order-sum of k-semilattices ⋮ Relative pseudo-complements, join-extensions, and meet-retractions ⋮ Residuated structures and orthomodular lattices ⋮ New proofs and an extension of a theorem of G. Birkhoff

Cites Work

• The Theory of Representation for Boolean Algebras
• On a characterization of the lattice of all ideals of a Boolean ring
• Über die Rolle der transfiniten Schlußweisen in einer allgemeinen Idealtheorie

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