Lokal-global Prinzipien für Anordnungen bewerteter Schiefkörper

DOI10.1007/BF01193780zbMath0542.12014MaRDI QIDQ795104

Angelika Tschimmel

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

orderingvalued skew fieldsfanpreorderinglocal-global principledegree of stabilityformally real skew fieldsHahn seriestwisted Laurent series

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80) Ordered fields (12J15) General valuation theory for fields (12J20) Division rings and semisimple Artin rings (16Kxx)

Related Items (11)

Trivialization of fans in division algebras ⋮ On preorders of ternary fields ⋮ Valuations and orderings on the real Weyl algebra ⋮ Witt rings of weakly orderable double loops and nearfields ⋮ Anordnungsräume unter der Moulton Konstruktion und Ebenen der Lenz Klasse III. (Spaces of orderings under the Moulton construction and planes of Lenz class III.) ⋮ Trivialization of fans in planar ternary rings with rational prime field ⋮ Preorders, left orderings, and valuation of near-fields ⋮ Semiorderings and localizations of planar ternary rings ⋮ On a generalization of Albert's theorem ⋮ The holomorphy rings of planar ternary rings with rational prime field ⋮ Central extensions of ordered skew fields

Cites Work

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• Witt rings and orderings of skew fields
• Reduzierte quadratische Formen und Semiordnungen reeller Körper
• Note on ordered groups and rings
• The Witt Ring of a Space of Ordering
• Classification of Finite Spaces of Orderings
• Allgemeine Bewertungstheorie.
• On Ordered Division Rings
• On Ordered Skew Fields
• On Ordered Division Rings

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