Finitely axiomatizable strongly minimal groups

DOI10.2178/jsl/1264433908zbMath1196.03046OpenAlexW2106697390MaRDI QIDQ5190188

Thomas Blossier, Elisabeth Bouscaren

Publication date: 15 March 2010

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2178/jsl/1264433908

zbMATH Keywords

division ringslocally modularfinitely axiomatizablestrongly minimal\(\aleph_1\)-categorical theories

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Skew fields, division rings (12E15)

Related Items (2)

Recursive spectra of strongly minimal theories satisfying the Zilber Trichotomy ⋮ Approximations of theories

Cites Work

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• Vaught's conjecture for superstable theories of finite rank
• \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures
• Quasi finitely axiomatizable totally categorical theories
• Elimination of quantifiers for modules
• Decidability of the conjugacy problem does not carry over to finite extensions of groups
• The radicals of Jordan rings
• Models of complete theories
• Finitely axiomatizable ℵ₁ categorical theories

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