Subfields of algebraically maximal Kaplansky fields

DOI10.1080/00927872.2022.2032118zbMath1501.12002arXiv1803.07792OpenAlexW4210282278MaRDI QIDQ5080216

Franz-Viktor Kuhlmann

Publication date: 31 May 2022

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

Full work available at URL: https://arxiv.org/abs/1803.07792

zbMATH Keywords

valued fieldNewton algorithmKaplansky fieldtame field

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Non-Archimedean valued fields (12J25) Computational methods for problems pertaining to field theory (12-08) Valued fields (12J10)

Related Items (1)

On valuation independence and defectless extensions of valued fields

Cites Work

• Unnamed Item
• The algebra and model theory of tame valued fields
• Reaching fixed points as limits in subspaces
• Galois cohomology of additive polynomial and \(n\)-th power mappings of fields
• Immediate and purely wild extensions of valued fields
• The Banach fixed point theorem for ultrametric spaces
• On valuation independence and defectless extensions of valued fields
• Valuation theory
• Maximal fields with valuations
• Value groups, residue fields, and bad places of rational function fields
• Valued Fields
• Commutative Algebra

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