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

DOI10.1186/1687-1812-2013-46zbMath1302.12007OpenAlexW2141647841WikidataQ59293854 ScholiaQ59293854MaRDI QIDQ2444841

Figen Öke

Publication date: 11 April 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-46

zbMATH Keywords

valued fieldsvalue groupextensions of valuationsresidue fieldresidual algebraic torsion extensions

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A theorem of characterization of residual transcendental extensions of a valuation
• A residual transcendental extension of a valuation on \(K\) to \(K(x_1,\dots,x_n)\)
• Minimal pairs of definition of a residual transcendental extension of a valuation
• All valuations on K(X)
• Completions of r.a.t.-valued fields of rational functions
• On Extensions of Valuations with given Residue Field and Value Group

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