Minimal pairs, minimal fields and implicit constant fields

DOI10.1016/j.jalgebra.2021.09.008zbMath1478.12008arXiv2107.04828OpenAlexW3200354551MaRDI QIDQ2236081

Arpan Dutta

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

zbMATH Keywords

minimal pairsvaluationkey polynomialspseudo-Cauchy sequencesvaluation transcendental extensions

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 (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

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