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Some model-theoretic results in the algebraic theory of quadratic forms

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Publication:5956888
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DOI10.1016/S0168-0072(01)00029-XzbMath1026.03021MaRDI QIDQ5956888

Vincent Astier

Publication date: 2001

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


zbMATH Keywords

binary quadratic forms over fieldsfirst-order axiomatizationMorley rankspecial groups of finite type


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Model theory (number-theoretic aspects) (11U09)


Related Items (4)

Special groups whose isometry relation is a finite union of cosets ⋮ The profinite hull of special groups and local-global principles ⋮ Elementary properties of the Boolean hull and reduced quotient functors ⋮ Erratum to: ``Some model-theoretic results in the algebraic theory of quadratic forms



Cites Work

  • \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures
  • Model theory.
  • The first order properties of products of algebraic systems
  • Spaces of Orderings IV
  • Special groups: Boolean-theoretic methods in the theory of quadratic forms
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