Rank One Discrete Valuations of Power Series Fields

DOI10.1080/00927870701326478zbMath1129.16035arXivmath/0605225OpenAlexW3100995225MaRDI QIDQ5308805

Francisco Javier Herrera Govantes, Miguel Ángel Olalla Acosta, José Luis Vicente Córdoba

Publication date: 8 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0605225

zbMATH Keywords

completionsformal power series ringsorder functionsmonoidal transformationschanges of coordinatesrank one discrete valuations

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Valued fields (12J10) General valuation theory for fields (12J20)

Related Items (2)

Blowing-ups and valuations on surfaces ⋮ Valuations on arithmetic surfaces

Cites Work

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• On the Valuations Centered in a Local Domain
• Constructive theory of valuations
• Allgemeine Bewertungstheorie.

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