A residual transcendental extension of a valuation on \(K\) to \(K(x_1,\dots,x_n)\)

DOI10.1016/J.AMC.2011.03.134zbMath1244.12004OpenAlexW2031395212MaRDI QIDQ648242

Figen Öke

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.134

zbMATH Keywords

valued fieldsextensions of valuationsresidual transcendental extensions

Mathematics Subject Classification ID

Transcendental field extensions (12F20) Valued fields (12J10) General valuation theory for fields (12J20)

Related Items (1)

On residual algebraic torsion extensions of a valuation of a field \(K(x_1,\dots,x_n)\)

Cites Work

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• A theorem of characterization of residual transcendental extensions of a valuation
• Minimal pairs of definition of a residual transcendental extension of a valuation
• A Structure Theorem for Simple Transcendental Extensions of Valued Fields

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