On the ranks and implicit constant fields of valuations induced by pseudo monotone sequences

DOI10.1016/j.jpaa.2022.107107zbMath1497.13017arXiv2107.10570OpenAlexW3185485251MaRDI QIDQ2153810

Arpan Dutta

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/2107.10570

zbMATH Keywords

minimal pairskey polynomialsextension of valuationsimplicit constant fieldspseudo Cauchy sequencespseudo monotone sequences

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Non-Archimedean valued fields (12J25) General valuation theory for fields (12J20)

Related Items (2)

Minimal pairs, inertia degrees, ramification degrees and implicit constant fields ⋮ Minimal pairs, minimal fields and implicit constant fields

Cites Work

• A theorem of characterization of residual transcendental extensions of a valuation
• Key polynomials and pseudo-convergent sequences
• Key polynomials and minimal pairs
• Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern. I-III.)
• Extending valuations to the field of rational functions using pseudo-monotone sequences
• Minimal pairs, minimal fields and implicit constant fields
• Maximal fields with valuations. I, II
• The defect
• Ramification Theoretic Methods in Algebraic Geometry (AM-43)
• Extension d’une valuation
• Value groups, residue fields, and bad places of rational function fields
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