On the extension of a valuation on a field \(K\) to \(K(X)\). II

zbMath0881.12004MaRDI QIDQ1356817

Nicolae Popescu, Constantin Vraciu

Publication date: 24 November 1997

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_1996__96__1_0

zbMATH Keywords

residual transcendental extensioncomposite valuationssimple transcendental extension of a valued field

Mathematics Subject Classification ID

Transcendental field extensions (12F20) General valuation theory for fields (12J20)

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)
• On the residual transcendental extensions of a valuation. Key polynomials and augmented valuation
• On the extension of valuations on a field \(K\) to \(K(X)\). I
• On the structure of the irreducible polynomials over local fields
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