Abstract key polynomials and distinguished pairs

DOI10.1142/s0219498823501931zbMath1523.12002arXiv2112.15123OpenAlexW4280615087MaRDI QIDQ6168140

Anuj Bishnoi, Sneha Mavi

Publication date: 8 August 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15123

zbMATH Keywords

key polynomialsvalued fieldsdistinguished pairsaturated distinguished chainsabstract key polynomials

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Transcendental field extensions (12F20) Non-Archimedean valued fields (12J25) Valued fields (12J10) General valuation theory for fields (12J20)

Cites Work

• Unnamed Item
• Defect of an extension, key polynomials and local uniformization
• 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
• Minimal pairs of definition of a residual transcendental extension of a valuation
• On the residual transcendental extensions of a valuation. Key polynomials and augmented valuation
• Key polynomials and pseudo-convergent sequences
• Key polynomials and minimal pairs
• On the structure of the irreducible polynomials over local fields
• On prolongations of valuations via Newton polygons and liftings of polynomials
• On MacLane-Vaquié key polynomials
• On common extensions of valued fields
• On truncations of valuations
• Limit key polynomials as \(p\)-polynomials
• Extension d’une valuation
• On valuations of K(x)
• ON THE MAIN INVARIANT OF ELEMENTS ALGEBRAIC OVER A HENSELIAN VALUED FIELD
• Value groups, residue fields, and bad places of rational function fields
• Key polynomials and distinguished pairs
• Constructing complete distinguished chains with given invariants
• Characterizing Distinguished Pairs by Using Liftings of Irreducible Polynomials
• Valued Fields
• On Chains Associated with Elements Algebraic over a Henselian Valued Field
• A Construction for Absolute Values in Polynomial Rings

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