More on generic dimension groups

DOI10.1215/00294527-3153570zbMath1372.03081OpenAlexW1873309737MaRDI QIDQ894253

Philip Scowcroft

Publication date: 30 November 2015

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ndjfl/1443620505

zbMATH Keywords

dimension groupexistentially closed dimension groupsfinitely generic dimension groupsinfinitely generic dimension groups

Mathematics Subject Classification ID

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

Related Items (1)

Algebraically closed and existentially closed abelian lattice-ordered groups

Cites Work

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• Some model-theoretic correspondences between dimension groups and AF algebras
• Existentially complete lattice-ordered groups
• Forcing, arithmetic, division rings
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Some consequences of the axiom of constructibility
• Finitely Generic Abelian Lattice-Ordered Groups
• A Note on Axioms for Infinite-Generic Structures
• Definability and decision problems in arithmetic

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