Valuation-transcendental extensions and pseudo-monotone sequences

DOI10.1080/00927872.2022.2059080zbMath1497.12003OpenAlexW4223596772MaRDI QIDQ5089961

Sneha Mavi, Anuj Bishnoi

Publication date: 15 July 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2059080

zbMATH Keywords

minimal pairsvalued fieldsabstract key polynomialspseudo-monotone sequences

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

• Key polynomials and pseudo-convergent sequences
• Key polynomials and minimal pairs
• Ordered sets
• On common extensions of valued fields
• Extending valuations to the field of rational functions using pseudo-monotone sequences
• On truncations of valuations
• Value groups, residue fields, and bad places of rational function fields
• Valued Fields

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