On characterizations of approximation types using MacLane-Vaquié chains

DOI10.1142/S0219498825500082MaRDI QIDQ6655521

Sneha Mavi, Anuj Bishnoi

Publication date: 23 December 2024

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

zbMATH Keywords

key polynomialsapproximation typesMacLane-Vaquié chainsalmost pure extensions of valuations

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Transcendental field extensions (12F20) Valued fields (12J10)

Cites Work

• Of limit key polynomials
• MacLane-Vaquié chains of valuations on a polynomial ring
• Valuative trees over valued fields
• Key polynomials over valued fields
• A construction for absolute values in polynomial rings.
• Approximation types describing extensions of valuations to rational function fields
• Extension d’une valuation
• Value groups, residue fields, and bad places of rational function fields

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