Limit key polynomials as \(p\)-polynomials

DOI10.1016/j.jalgebra.2021.03.024zbMath1466.13004arXiv2009.04349OpenAlexW3148477020MaRDI QIDQ2664500

Josnei Novacoski, Michael de Moraes

Publication date: 20 April 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.04349

zbMATH Keywords

valuationskey polynomials\(p\)-polynomialslimit key polynomials

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18)

Related Items (4)

Abstract key polynomials and distinguished pairs ⋮ A characterization for the defect of rank one valued field extensions ⋮ Valuations on \(K[x\) approaching a fixed irreducible polynomial] ⋮ On stable and fixed polynomials

Cites Work

• A theorem of characterization of residual transcendental extensions of a valuation
• A classification of Artin-Schreier defect extensions and characterizations of defectless fields
• 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
• Of limit key polynomials
• Defect and local uniformization
• Admissible family of valuations and defect of an extension.
• Maximal fields with valuations. I, II
• Extension d’une valuation
• Unnamed Item

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