Epicomplete l-groups

DOI10.1007/BF02483881zbMath0457.06016OpenAlexW3193491882MaRDI QIDQ1150642

Marlow Anderson, Paul F. Conrad

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf02483881

zbMATH Keywords

epicompletionminimal primeabelian lattice ordered groupsa- epimorphisma-epicomplete l-groupHahn groupl-homomorphisms

Mathematics Subject Classification ID

Ordered groups (06F15) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (13)

Maximum monoreflections ⋮ Epicomplete archimedean l-groups via a localic Yosida theorem ⋮ Valuations of lattice-ordered groups ⋮ Epicomplete archimedean lattice-ordered groups ⋮ The category of Archimedean \(\ell\)-groups with strong unit, and some of its epireflective subcategories ⋮ Weak units in epicompletions of Archimedean lattice-ordered groups ⋮ \(C\)-epic compactifications ⋮ Some properties of an archimedean $\ell$-group ⋮ Vector lattices with no proper a-subspaces ⋮ Pushout-invariant extensions and monoreflections ⋮ Majorizing-injectivity in Abelian lattice-ordered groups ⋮ Special-valued \(\ell\)-groups ⋮ Epicomplete completely-distributive \(\ell\)-groups

Cites Work

• Unnamed Item
• Closed subgroups and complete distributivity in lattice-ordered groups
• The essential closure of an Archimedean lattice-ordered group
• The lattice of closed ideals and a\(^*\)-extensions of an abelian \(l\)- group
• The SP-hull of a Lattice-Ordered Group
• Epi-archimedean groups
• Epimorphisms in the Category of Abelian l-Groups
• The hulls of representablel-groups andf-rings
• The Hahn Embedding Theorem for Abelian Lattice-Ordered Groups
• The Completion of a Lattice Ordered Group
• The Lateral Completion of a Lattice-Ordered Group
• Amalgamations of Lattice Ordered Groups
• Free lattice-ordered groups

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