Model-completions for abelian lattice-ordered groups with finitely many disjoint elements

DOI10.1016/j.apal.2019.01.002OpenAlexW2914429542MaRDI QIDQ1740455

Philip Scowcroft

Publication date: 30 April 2019

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2019.01.002

zbMATH Keywords

lattice-ordered groupLex-extension

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• Algebraically closed and existentially closed abelian lattice-ordered groups
• The structure of a lattice-ordered group with a finite number of disjoint elements
• Model theory.
• First-order theories of subgroups of divisible Hahn products
• Expanded elementary and universal theories of lattice-ordered Abelian groups with a finite number of fibres
• The first order properties of products of algebraic systems
• Some Structure Theorems for Lattice-Ordered Groups
• Negative-existentially complete structures and definability in free extensions
• Model Theory
• Nonnegative solvability of linear equations in certain ordered rings
• Lex-subgroups of lattice-ordered groups
• Lattice ordered groups with a basis
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