Existentially closed dimension groups

DOI10.1090/S0002-9947-2011-05382-1zbMath1241.03045OpenAlexW1966757448MaRDI QIDQ5389415

Philip Scowcroft

Publication date: 26 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2011-05382-1

zbMATH Keywords

amalgamation propertiespartially ordered abelian groupexistentially closed dimension groupsfinitely 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 (5)

Algebraically closed and existentially closed abelian lattice-ordered groups ⋮ Semi-isolation and the strict order property ⋮ Some model-theoretic correspondences between dimension groups and AF algebras ⋮ Existentially closed closure algebras ⋮ Model theory of 𝐶*-algebras

Cites Work

• Some model-theoretic correspondences between dimension groups and AF algebras
• A representation of convex semilinear sets
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Model-Theoretic Forcing in Logic With a Generalized Quantifier
• Logic with the quantifier “there exist uncountably many”
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