Construction of existentially closed abelian lattice-ordered groups using Fraïssé limits

DOI10.1007/s00012-020-00706-1zbMath1498.03087OpenAlexW3127847389MaRDI QIDQ1996096

Brian Wynne

Publication date: 3 March 2021

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

Full work available at URL: https://doi.org/10.1007/s00012-020-00706-1

zbMATH Keywords

Fraïssé limitexistentially closed grouplattice-ordered

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model-theoretic forcing (03C25)

Related Items (max. 100)

New axioms for the lattice-ordered groups existentially closed in $\mathbf W^+$

Cites Work

• Algebraically closed and existentially closed abelian lattice-ordered groups
• An example in the model theory of Abelian lattice-ordered groups
• Amalgamated sums of Abelian l-groups
• Model-completions for abelian lattice-ordered groups with finitely many disjoint elements
• Construction of existentially closed abelian lattice-ordered groups using upper extensions
• Amalgamating Abelian ordered groups
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• Finitely Generic Abelian Lattice-Ordered Groups
• Existentially Complete Abelian Lattice-Ordered Groups
• Embedding Theorems for Abelian Groups with Valuations
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