The Joly-Becker theorem for \(*\)-orderings

DOI10.5802/afst.1177zbMath1218.12006OpenAlexW2314808518MaRDI QIDQ959013

Igor Klep, Dejan Velušček

Publication date: 10 December 2008

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2008_6_17_1_81_0

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Ordered fields (12J15)

Cites Work

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• Higher level reduced Witt rings of skew fields
• Holomorphy rings and higher level orders on skew fields
• Orderings and valuations on *-fields
• Strong ordering of *-fields
• The Henselization of a valued division algebra
• Witt rings and orderings of skew fields
• Higher product levels of domains
• *-orderings and *-valuations on algebras of finite Gelfand-Kirillov dimension.
• Valuation theory of higher level *-signatures
• \(n\)-real valuations and the higher level version of the Krull-Baer theorem.
• Central extensions of \(*\)-ordered skew fields
• Valuation theory
• HIGHER PRODUCT LEVELS OF NONCOMMUTATIVE RINGS
• Approximation Properties for Orderings on ∗ -Fields
• ∗ -Valuations and Ordered ∗ -Fields
• Summen n-ter Potenzen in Körpern.
• ^*-Orderings on a ring with involution
• On Valuations, Places and Graded Rings Associated to ∗-Orderings
• Sommes de puissances d-ièmes dans un anneau commutatif
• Ordered \(*\)-rings

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