\(n\)-real valuations and the higher level version of the Krull-Baer theorem.

DOI10.1016/j.jalgebra.2004.05.012zbMath1066.16050OpenAlexW2092618789MaRDI QIDQ1887597

Igor Klep, Dejan Velušček

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.05.012

zbMATH Keywords

skew polynomial ringsvaluationsorderings of higher leveldivision ringssignaturesreal places

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Skew fields, division rings (12E15) Real algebra (13J30)

Related Items (5)

HIGHER PRODUCT PYTHAGORAS NUMBERS OF SKEW FIELDS ⋮ Valuations and orderings on the real Weyl algebra ⋮ Central Extensions of n-Ordered Division Rings ⋮ The Joly-Becker theorem for \(*\)-orderings ⋮ A Variant of Higher Product Levels of Integral Domains and *-Domains

Cites Work

• Higher level reduced Witt rings of skew fields
• Holomorphy rings and higher level orders on skew fields
• Reduced forms and reduced Witt rings of higher level
• Witt rings and orderings of skew fields
• Orderings, real places, and valuations on noncommutative integral domains
• Preorderings on semigroups and semirings of right quotients
• HIGHER PRODUCT LEVELS OF NONCOMMUTATIVE RINGS
• Summen n-ter Potenzen in Körpern.
• Complete precones on noncommutative integral domains
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