Normal subgroups and elementary theories of lattice-ordered groups

DOI10.1007/BF00354894zbMath0664.06012MaRDI QIDQ1115464

Manfred Droste

Publication date: 1988

Published in: Order (Search for Journal in Brave)

zbMATH Keywords

elementary equivalencelattice-ordered groupsnormal subgroup latticesset-theoretic classification

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Total orders (06A05) Ordered groups (06F15)

Related Items (1)

Groups of Automorphisms of Totally Ordered Sets: Techniques, Model Theory and Applications to Decision Problems

Cites Work

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• The normal subgroup lattice of 2-transitive automorphism groups of linearly ordered sets
• A construction of all normal subgroup lattices of 2-transitive automorphism groups of linearly ordered sets
• Complete embeddings of linear orderings and embeddings of lattice-ordered groups
• Completeness properties of certain normal subgroup lattices
• Existentially complete lattice-ordered groups
• The lattice-ordered group of automorphisms of an \(\alpha\)-set
• Quelques remarques sur l'équivalence élémentaire entre groupes ou treillis d'automorphismes de chaines 2-homogènes
• The lattice-ordered group of automorphisms of an ordered set
• Bi-Interpretable Groups and Lattices
• Normal Subgroups of Doubly Transitive Automorphism Groups of Chains
• Recognizing the Real Line
• The Largest Proper Variety of Lattice Ordered Groups
• Groups of homeomorphisms with manageable automorphism groups

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