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Valuation theory of higher level *-signatures

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Publication:1886783
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DOI10.1016/j.jpaa.2004.04.007zbMath1159.12304OpenAlexW2146702295MaRDI QIDQ1886783

Jakob Cimprič

Publication date: 19 November 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.04.007



Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Topological and ordered rings and modules (16W80) Real algebra (13J30)


Related Items (2)

The Joly-Becker theorem for \(*\)-orderings ⋮ A Variant of Higher Product Levels of Integral Domains and *-Domains



Cites Work

  • Unnamed Item
  • Reduced forms and reduced Witt rings of higher level
  • Orderings and valuations on *-fields
  • Strong ordering of *-fields
  • Witt groups of Hermitian forms over \(\ast\)-fields
  • Hermitian forms over ordered *-fields
  • *-orderings and *-valuations on algebras of finite Gelfand-Kirillov dimension.
  • ∗ -Valuations and Ordered ∗ -Fields
  • Summen n-ter Potenzen in Körpern.
  • *-Orderings on a ring with involution
  • Ordered \(*\)-rings


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