Completion of valued skew fields

DOI10.1016/S0021-8693(05)80030-4zbMath0781.16011MaRDI QIDQ1204534

Karl Mathiak

Publication date: 29 March 1993

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

zbMATH Keywords

valued skew fieldsmaximal idealstopologycompletionvaluation ringfield topologyextension theorem of value functionsvaluation topologies

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Ideals in associative algebras (16D25) Topological and ordered rings and modules (16W80) Valued fields (12J10) General valuation theory for fields (12J20)

Related Items (1)

Zur Vervollständigung bewerteter Schiefkörper. (On the completion of valued skew fields)

Cites Work

• Unnamed Item
• Valuations of skew fields and projective Hjelmslev spaces
• Bewertungsringe von Schiefkörpern, Resultate und offene Probleme. (Valuation rings of skew fields, results and open problems)
• Stellen und Topologien von Schiefkörpern und Alternativkörpern. (Places and topologies of skew fields and alternative fields)
• Chain domains
• Topological methods in valuation theory
• Beiträge zur topologischen Algebra

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