Construction of existentially closed abelian lattice-ordered groups using upper extensions

DOI10.1007/s00012-018-0531-yzbMath1403.03057OpenAlexW2805602841MaRDI QIDQ1991577

Brian Wynne

Publication date: 30 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00012-018-0531-y

zbMATH Keywords

lattice-ordered groupexistentially closedupper extension

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered groups (group-theoretic aspects) (20F60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (3)

New axioms for the lattice-ordered groups existentially closed in $\mathbf W^+$ ⋮ Yosida, Martínez, and A + B Rings ⋮ Construction of existentially closed abelian lattice-ordered groups using Fraïssé limits

Cites Work

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• Algebraically closed and existentially closed abelian lattice-ordered groups
• An example in the model theory of Abelian lattice-ordered groups
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• Finitely Generic Abelian Lattice-Ordered Groups
• Above and Below Subgroups of a Lattice-Ordered Group
• Existentially Complete Abelian Lattice-Ordered Groups

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