A universal mapping property for a lattice completion

DOI10.1007/BF02485818zbMath0334.06003MaRDI QIDQ1228491

Alan A. Bishop

Publication date: 1976

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

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Structure theory of lattices (06B05) Special categories (18B99)

Related Items

ORDER EXTENSIONS AS ADJOINT FUNCTORS ⋮ Admissible subsets and completions of ordered algebras ⋮ A class of join-completions of partially ordered semigroups ⋮ On lattice completions as universal solutions ⋮ A uniform approach to completions of posets ⋮ On universal mappings and lattice completions ⋮ The lattice of complete ideals of an atomic lattice ⋮ Canonical extensions of posets. ⋮ Join-completions of \(L\)-ordered sets ⋮ The Kernels of Skeletal Congruences on a Distributive Lattice ⋮ A universal mapping characterization of the completion by cuts ⋮ Completions for partially ordered semigroups ⋮ Standard completions for quasiordered sets

Cites Work

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• Section semicomplemented lattices
• Distributivity in lattices
• Regular Embeddings which Preserve Lattice Structure