An invariant of valuation transcendental extensions and its connection with key polynomials
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Publication:6495837
DOI10.1016/J.JALGEBRA.2024.03.008MaRDI QIDQ6495837
Publication date: 2 May 2024
Published in: Journal of Algebra (Search for Journal in Brave)
minimal pairskey polynomialsextension of valuationsvaluation transcendental extensionsMac Lane-Vaquié key polynomials
Valuations and their generalizations for commutative rings (13A18) Non-Archimedean valued fields (12J25) General valuation theory for fields (12J20)
Cites Work
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- A theorem of characterization of residual transcendental extensions of a valuation
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- Minimal pairs of definition of a residual transcendental extension of a valuation
- All valuations on K(X)
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- Key polynomials and minimal pairs
- On MacLane-Vaquié key polynomials
- On the implicit constant fields and key polynomials for valuation algebraic extensions
- Minimal pairs, minimal fields and implicit constant fields
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- Extension d’une valuation
- Value groups, residue fields, and bad places of rational function fields
- Minimal pairs, inertia degrees, ramification degrees and implicit constant fields
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- On Chains Associated with Elements Algebraic over a Henselian Valued Field
- Tame key polynomials
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