Lateral and Dedekind completions of strongly projectable lattice ordered groups

DOI10.1023/A:1022419703077zbMath0897.06019OpenAlexW171144375MaRDI QIDQ4210000

Jan Jakubík

Publication date: 28 September 1998

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30381

zbMATH Keywords

Dedekind completionlattice ordered grouplateral completionstrong projectability

Mathematics Subject Classification ID

Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (3)

Lateral completion of a projectable lattice ordered group ⋮ Projectability and Splitting Property of Lattice Ordered Groups ⋮ Strong Projectability of Lattice Ordered Groups

Cites Work

• The essential closure of an Archimedean lattice-ordered group
• Sequence completion of lattice moduls
• Maximal Dedekind completion of an abelian lattice-ordered group
• The lateral completion of an arbitrary lattice group
• Lateral and Dedekind Completion of Archimedean Lattice Groups
• Orthogonal hull of a strongly projectable lattice ordered group
• A Note on Lateral Completions in Lattice-Ordered Groups
• The Lateral Completion of a Lattice-Ordered Group
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