Minimal pairs, minimal fields and implicit constant fields
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Publication:2236081
DOI10.1016/j.jalgebra.2021.09.008zbMath1478.12008arXiv2107.04828OpenAlexW3200354551MaRDI QIDQ2236081
Publication date: 22 October 2021
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.04828
Valuations and their generalizations for commutative rings (13A18) Non-Archimedean valued fields (12J25) General valuation theory for fields (12J20)
Related Items (5)
On the ranks and implicit constant fields of valuations induced by pseudo monotone sequences ⋮ Minimal pairs, inertia degrees, ramification degrees and implicit constant fields ⋮ Extensions of valuations to rational function fields over completions ⋮ A ruled residue theorem for algebraic function fields of curves of prime degree ⋮ On the implicit constant fields and key polynomials for valuation algebraic extensions
Cites Work
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- A theorem of characterization of residual transcendental extensions of a valuation
- A classification of Artin-Schreier defect extensions and characterizations of defectless fields
- Eliminating tame ramification generalizations of Abhyankar's lemma
- Minimal pairs of definition of a residual transcendental extension of a valuation
- Key polynomials and pseudo-convergent sequences
- Key polynomials and minimal pairs
- On the structure of the irreducible polynomials over local fields
- On the ranks and implicit constant fields of valuations induced by pseudo monotone sequences
- Valuation theory
- Maximal fields with valuations. I, II
- On Algebraically Maximal Valued Fields and Defectless Extensions
- On maximal immediate extensions of valued fields
- 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
- Corrections and notes to “Value groups, residue fields and bad places of rational function fields”
- Valued Fields
- On Chains Associated with Elements Algebraic over a Henselian Valued Field
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