On MacLane-Vaquié key polynomials

DOI10.1016/j.jpaa.2020.106644zbMath1467.13006arXiv2005.08004OpenAlexW3112181160MaRDI QIDQ2022452

Josnei Novacoski

Publication date: 29 April 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08004

zbMATH Keywords

graded algebraskey polynomialsabstract key polynomialsMacLane-Vaquié key polynomials

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18)

Related Items (8)

The defect formula ⋮ Graded rings associated to valuations and direct limits ⋮ Abstract key polynomials and distinguished pairs ⋮ MacLane-Vaquié chains and valuation-transcendental extensions ⋮ A characterization for the defect of rank one valued field extensions ⋮ Valuations on \(K[x\) approaching a fixed irreducible polynomial] ⋮ On truncations of valuations ⋮ Abstract key polynomials and MacLane-Vaquié chains

Cites Work

• A theorem of characterization of residual transcendental extensions of a valuation
• Abstract key polynomials and comparison theorems with the key polynomials of Mac Lane-Vaquié
• Key polynomials and pseudo-convergent sequences
• Key polynomials and minimal pairs
• Admissible family of valuations and defect of an extension.
• Maximal fields with valuations. I, II
• Extension d’une valuation

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