Trees and valuation rings

DOI10.1090/S0002-9947-00-02458-2zbMath0953.16017MaRDI QIDQ4955734

Joachim Graeter, Hans-Heinrich Brungs

Publication date: 22 May 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

valuation ringsfinite-dimensional division algebrasSchur indexfinite rooted treesinvariant valuation ringsextendibility of valuationssymbol division algebrastrees of valuation typevaluation trees

Mathematics Subject Classification ID

Trees (05C05) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Finite-dimensional division rings (16K20) Skew fields, division rings (12E15) General valuation theory for fields (12J20) Ultraproducts and field theory (12L10)

Related Items (2)

On extending Prüfer rings in central simple algebras ⋮ Locally Invariant and Semi-Invariant Right Cones

Cites Work

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• Über die Bewertungen endlich dimensionaler Divisionsalgebren
• Valuations of skew fields and projective Hjelmslev spaces
• Valuation rings in finite-dimensional division algebras
• The Henselization of a valued division algebra
• Valuation theory
• RINGS WITH A BOUNDED NUMBER OF GENERATORS FOR RIGHT IDEALS

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