Valuation fans and residually closed Henselian fields

DOI10.1006/jabr.1998.7708zbMath0964.12005OpenAlexW1984160961MaRDI QIDQ1295938

Danielle Gondard, Eberhard Becker, Ralph Berr

Publication date: 23 July 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7708

zbMATH Keywords

Rolle's theoremhenselian fieldHRC-fieldsvaluation fans

Mathematics Subject Classification ID

Valued fields (12J10)

Related Items (4)

Definable valuations on ordered fields ⋮ Real closed graded fields ⋮ Number of connected components of a real variety and \(\mathbb{R}\)-places ⋮ Powers of totally positive subgroups of fields

Cites Work

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• Simple axiomatizations of Rolle fields
• Extended Artin-Schreier theory of fields
• The behavior of chains of orderings under field extensions and places
• Real closures of fields at orderings of higher level
• Fans, real valuations, and hereditarily-Pythagorean fields
• Sums of mixed powers in fields and orderings of prescribed level
• Characterization of fans and hereditarily pythagorean fields
• Real places and ordered fields
• Valuation theory
• Some model theory for almost real closed fields
• Chain signatures and real closures.
• Automorphisms and Isomorphisms of Real Henselian Fields
• The model theory of generalized real closed fields.
• The_p-rspectrum of a commutative ring
• Summen n-ter Potenzen in Körpern.
• Chains of higher level orderings
• Ordered fields satisfying Rolle's theorem

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