INTERPRETING GROUPS AND FIELDS IN SOME NONELEMENTARY CLASSES

DOI10.1142/S0219061305000390zbMath1082.03033arXivmath/0406481OpenAlexW2119223354MaRDI QIDQ5694197

Olivier Lessmann, Tapani Hyttinen, Saharon Shelah

Publication date: 29 September 2005

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406481

zbMATH Keywords

algebraically closed fieldgeometric stability theoryhomogeneous modelexcellent classesnonelementary classes

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52)

Related Items (13)

Quasiminimal structures, groups and Zariski-like geometries ⋮ Finding a field in a Zariski-like structure ⋮ Simplicity and uncountable categoricity in excellent classes ⋮ Categoricity transfer in simple finitary abstract elementary classes ⋮ On model theory of covers of algebraically closed fields ⋮ О группах, несущих однородные ослабленные предгеометрии ⋮ Constructing quasiminimal structures ⋮ Categoricity and universal classes ⋮ Independence in finitary abstract elementary classes ⋮ Interpreting groups and fields in simple, finitary AECs ⋮ Canonical bases in excellent classes ⋮ Locally modular geometries in homogeneous structures ⋮ Groups with locally modular homogeneous pregeometries are commutative

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