On the description of the reduced Witt ring

DOI10.1016/0021-8693(78)90243-0zbMath0396.10012OpenAlexW2063840537MaRDI QIDQ1253267

Eberhard Becker, Ludwig Broecker

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90243-0

zbMATH Keywords

SignatureQuadratic FormFormally Real FieldOrderingsReduced Witt Rings

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15) Forms over real fields (11E10)

Related Items

On the separation of basic semialgebraic sets by polynomials, Minimal generation of basic open semianalytic sets, A representation theorem for higher level reduced Witt rings, Signatures of higher level on rings with many units, On the local theory of signatures and reduced quadratic forms, Reelle Divisoren, Witt rings and orderings of skew fields, Orderings and real places on commutative rings, Spaces of orderings: Systems of quadratic forms, local structure, and saturation, Algebraically constructible chains., Quadratic Forms, Partial orders on a field and valuation rings, The Witt ring of a space of signatures, Stability index of real varieties, Sums of squares in Witt rings, Reduced forms and reduced Witt rings of higher level, *-orderings and *-valuations on algebras of finite Gelfand-Kirillov dimension.

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