Distinguished extensions of a lattice-ordered group

DOI10.1007/BF01190971zbMath0842.06012OpenAlexW2056738834MaRDI QIDQ1906527

Richard N. Ball

Publication date: 25 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf01190971

zbMATH Keywords

lattice-ordered groupmaximal essential extensionprojectable hullcategory of \(\ell\)-groups with \(\ell\)-homomorphismslexicographic product with a totally ordered groupmaximal distinguished extension

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Ordered groups (06F15)

Related Items (7)

Distinguished extensions of an MV-algebra ⋮ Completeness properties of certain normal subgroup lattices ⋮ Positive universal classes in locally finite varieties ⋮ W. Charles Holland, 75th birthday ⋮ Topologies on abelian lattice ordered groups induced by a positive filter and completeness ⋮ On cut completions of abelian lattice ordered groups ⋮ Distinguished Completion of a Direct Product of Lattice Ordered Groups

Cites Work

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• Distributive Cauchy lattices
• Projective and injective distributive lattices
• The lattice-ordered group of automorphisms of an ordered set
• The $\alpha $-completion of a lattice ordered group
• Convergence and Cauchy Structures on Lattice Ordered Groups
• The Generalized Orthocompletion and Strongly Projectable Hull of a Lattice Ordered Group
• Lateral and Dedekind Completion of Archimedean Lattice Groups

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