On the structure of certain valued fields

DOI10.1016/j.apal.2020.102927zbMath1484.11228arXiv1608.07656OpenAlexW3112675383MaRDI QIDQ2659099

Wan Lee, Junguk Lee

Publication date: 25 March 2021

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

Full work available at URL: https://arxiv.org/abs/1608.07656

zbMATH Keywords

Ax-Kochen-Ershov principlefinitely ramified valued fieldsfunctorial property of the ring of Witt vectorsKrasner's lemmalifting number

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Ramification and extension theory (11S15) Model theory (number-theoretic aspects) (11U09)

Related Items (3)

Decidability via the tilting correspondence ⋮ Hyperfields, truncated DVRs, and valued fields ⋮ Diophantine problems over tamely ramified fields

Cites Work

• Formally \(p\)-adic fields
• Some model theory for Henselian valued fields
• Model theory.
• A characterization of subgroup lattices of finite abelian groups
• On the structure of principal ideal rings
• Diophantine problems over local fields. III: Decidable fields
• Isomorphism of complete local noetherian rings and strong approximation
• A model-theoretic transfer theorem for henselian valued fields.
• Diophantine Problems Over Local Fields I
• Valued Fields
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