Complete embeddings of linear orderings and embeddings of lattice-ordered groups

DOI10.1007/BF02782939zbMath0619.06001MaRDI QIDQ1089362

Manfred Droste

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

automorphism groupregular cardinalsDedekind completioncomplete embeddingdivisible lattice-ordered groupsdoubly homogeneous linearly ordered sets

Mathematics Subject Classification ID

Complete lattices, completions (06B23) General theory for infinite permutation groups (20B07) Total orders (06A05) Ordered groups (06F15) Infinite automorphism groups (20B27)

Related Items (3)

Normal subgroups and elementary theories of lattice-ordered groups ⋮ Automorphism groups of totally ordered sets: A retrospective survey ⋮ Ordinal scales in the theory of measurement

Cites Work

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• The normal subgroup lattice of 2-transitive automorphism groups of linearly ordered sets
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• Completeness properties of certain normal subgroup lattices
• The logic of time. A model-theoretic investigation into the varieties of temporal ontology and temporal discourse
• The lattice-ordered group of automorphisms of an \(\alpha\)-set
• Transitive lattice-ordered permutation groups
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• The lattice-ordered group of automorphisms of an ordered set
• Bi-Interpretable Groups and Lattices
• Structure of partially ordered sets with transitive automorphism groups
• Normal Subgroups of Doubly Transitive Automorphism Groups of Chains
• Partially Ordered Sets with Transitive Automorphism Groups
• Groups of homeomorphisms with manageable automorphism groups
• Embedding in a Divisible Lattice-Ordered Group

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