Algebraic characterization of rings of continuous \(\mathbb{R}((t))\)-valued functions

DOI10.1016/J.JALGEBRA.2022.04.008zbMath1494.13004OpenAlexW4224300367MaRDI QIDQ2136909

Alexander Prestel, S. V. Leite

Publication date: 16 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.04.008

zbMATH Keywords

rings of continuous functionscompatible orderings and valuationsreal Laurent seriesvaluation spectra

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Banach algebras of continuous functions, function algebras (46J10) Valuations and their generalizations for commutative rings (13A18) Ordered rings (13J25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Stone-Weierstrass theorem for valuable fields
• Bemerkungen zur Theorie der formal \(p\)-adischen Körper
• Algebraic Characterization of Rings of Continuousp-Adic Valued Functions
• Valued Fields
• The Weierstrass Theorem in Fields with Valuations

This page was built for publication: Algebraic characterization of rings of continuous \(\mathbb{R}((t))\)-valued functions