Each join-completion of a partially ordered set in the solution of a universal problem

DOI10.1017/S1446788700018048zbMath0304.06003OpenAlexW2022829766MaRDI QIDQ4058699

Jürgen Schmidt

Publication date: 1974

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700018048

Mathematics Subject Classification ID

Partial orders, general (06A06) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

Unnamed Item, Representations of bornologies, ORDER EXTENSIONS AS ADJOINT FUNCTORS, CLOSURE OPERATORS, FRAMES AND NEATEST REPRESENTATIONS, Admissible subsets and completions of ordered algebras, A class of join-completions of partially ordered semigroups, On lattice completions as universal solutions, On universal mappings and lattice completions, Continuous completions, Ideal completion and Stone representation of ideal-distributive ordered sets, Join-completions of \(L\)-ordered sets, Join-completions of partially ordered algebras, Relative pseudo-complements, join-extensions, and meet-retractions, Completions for partially ordered semigroups, Standard completions for quasiordered sets, Posets isomorphic to their extensions

Cites Work

• Zur Kennzeichnung der Dedekind-MacNeilleschen Hülle einer geordneten Menge
• Polarity and duality
• Remarks on Galois lattices
• Hüllensysteme und Erweiterung von Quasi‐Ordnungen
• Tight Galois Connections and Complete Distributivity
• Galois Connexions
• Closure Operators and Galois Theory in Lattices