On the extension of valuations on a field \(K\) to \(K(X)\). I

zbMath0774.12009MaRDI QIDQ1199658

Nicolae Popescu, Constantin Vraciu

Publication date: 16 January 1993

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1992__87__151_0

zbMATH Keywords

field of rational functionsresidual transcendental extensionsextension of valuationsquasi unramified extensions

Mathematics Subject Classification ID

General valuation theory for fields (12J20) Field extensions (12F99)

Related Items (2)

On the extension of a valuation on a field \(K\) to \(K(X)\). II ⋮ Extension d’une valuation

Cites Work

• A theorem of characterization of residual transcendental extensions of a valuation
• Minimal pairs of definition of a residual transcendental extension of a valuation
• All valuations on K(X)
• Valuation theory
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