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Some model theory for Henselian valued fields

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Publication:1134757
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DOI10.1016/0021-8693(78)90217-XzbMath0424.03016MaRDI QIDQ1134757

Serban A. Basarab

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)


zbMATH Keywords

elementary equivalenceHenselian valued fieldsfinite ramification index


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Valued fields (12J10) Henselian rings (13J15) Ultraproducts and field theory (12L10)


Related Items (6)

On the structure of certain valued fields ⋮ Decidability via the tilting correspondence ⋮ Towards a general theory of formally p-adic fields ⋮ Hyperfields, truncated DVRs, and valued fields ⋮ Diophantine problems over tamely ramified fields ⋮ Relative elimination of quantifiers for Henselian valued fields



Cites Work

  • Diophantine problems over local fields. III: Decidable fields
  • Diophantine Problems Over Local Fields I
  • Decision procedures for real and p‐adic fields
  • Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
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