Definable non-divisible Henselian valuations

DOI10.1112/blms/bdt074zbMath1319.03049OpenAlexW2025798178MaRDI QIDQ5402602

Jizhan Hong

Publication date: 14 March 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdt074

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Valuation rings (13F30) Interpolation, preservation, definability (03C40) Model theory of fields (12L12) Field arithmetic (12E30) Valued fields (12J10) Henselian rings (13J15)

Related Items (13)

Ordered fields dense in their real closure and definable convex valuations ⋮ Henselianity in the language of rings ⋮ Distality in valued fields and related structures ⋮ On the quantifier complexity of definable canonical Henselian valuations ⋮ A definable Henselian valuation with high quantifier complexity ⋮ DEFINABILITY OF HENSELIAN VALUATIONS BY CONDITIONS ON THE VALUE GROUP ⋮ Definable valuations on ordered fields ⋮ The model theory of Cohen rings ⋮ Recent progress on definability of Henselian valuations ⋮ Definable valuations induced by multiplicative subgroups and NIP fields ⋮ Strongly dependent ordered abelian groups and Henselian fields ⋮ Uniform definability of henselian valuation rings in the Macintyre language: ⋮ DEFINABLE HENSELIAN VALUATIONS

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