Signatures of higher level on rings with many units

DOI10.1007/BF02570863zbMath0676.10016MaRDI QIDQ1122610

S. H. Smith

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183760

zbMATH Keywords

representation theoremspace of signaturesrings with many unitssemi-local ringsreduced Witt ringshigher level reduced formslocal-global criterion for isotropy

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) General binary quadratic forms (11E16) Local rings and semilocal rings (13H99)

Related Items (11)

Valuations and higher level orders in commutative rings ⋮ Higher level orders on noncommutative rings ⋮ The real spectrum of a noncommutative ring ⋮ Faithfully quadratic rings ⋮ Orderings and real places on commutative rings ⋮ Central Extensions of n-Ordered Division Rings ⋮ Orderings and prime-like subsets of a commutative ring ⋮ Orderings and signatures of higher level on multirings and hyperfields ⋮ The intersection theorem for orderings of higher level in rings ⋮ The Witt ring of a space of signatures ⋮ Algebraic \(K\)-theory of special groups

Cites Work

• The Witt ring of a space of signatures
• Stability index of real varieties
• Reduced forms and reduced Witt rings of higher level
• An introduction to real algebra
• On the local theory of signatures and reduced quadratic forms
• Succinct and representational Witt rings
• On basic semialgebraic sets
• Quadratic forms over semilocal rings
• On the description of the reduced Witt ring
• An abstract approach to higher level forms and rigidity
• The Witt Ring of a Space of Ordering
• Partial orders on a field and valuation rings
• Projective Modules Over Rings with Many Units
• Sommes de puissances d-ièmes dans un anneau commutatif

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