Cuts and small extensions of abelian ordered groups

DOI10.1016/j.jpaa.2022.107103OpenAlexW3203149601MaRDI QIDQ2153806

Franz-Viktor Kuhlmann, Enric Nart Viñals

Publication date: 13 July 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12528

zbMATH Keywords

invariance groupcutvaluationordered abelian groupcofinalitysmall extension

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Valuations and their generalizations for commutative rings (13A18) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) General valuation theory for fields (12J20)

Related Items (4)

Rigidity of valuative trees under Henselization ⋮ The defect formula ⋮ Geometric parametrization of valuations on a polynomial ring in one variable ⋮ Valuative trees over valued fields

Cites Work

• Embedding ordered fields in formal power series fields
• Of limit key polynomials
• Valuative trees over valued fields
• Value groups, residue fields, and bad places of rational function fields
• Selected methods for the classification of cuts, and their applications

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