Valuations on rational function fields that are invariant under permutation of the variables

DOI10.1016/j.jalgebra.2016.06.031zbMath1351.12003OpenAlexW2505354721MaRDI QIDQ738901

C. Vişan, Franz-Viktor Kuhlmann, Katarzyna Kuhlmann

Publication date: 16 August 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.06.031

zbMATH Keywords

Gauß valuationsymmetric valuationvaluations on rational function fields

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10)

Related Items

Logarithmic-exponential series, Embedding ordered fields in formal power series fields

Cites Work

• Algebraic independence of elements in immediate extensions of valued fields
• Elimination of ramification I: The generalized stability theorem
• Abhyankar places admit local uniformization in any characteristic
• Value groups, residue fields, and bad places of rational function fields
• Corrections and notes to “Value groups, residue fields and bad places of rational function fields”
• Valued Fields
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