Reduced forms and reduced Witt rings of higher level

DOI10.1016/0021-8693(85)90135-8zbMath0555.10009OpenAlexW1968212859MaRDI QIDQ760452

A.F.T.W.Rosenberg, Eberhard Becker

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90135-8

zbMATH Keywords

formally real fieldorderings of higher levelsignaturesfanscharacters whose kernels are additively closedreduced Witt rings of higher level

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)

Related Items (18)

Valuation theory of higher level *-signatures ⋮ \(n\)-real valuations and the higher level version of the Krull-Baer theorem. ⋮ Valuations and higher level orders in commutative rings ⋮ Chain signatures and higher level Witt rings ⋮ A representation theorem for higher level reduced Witt rings ⋮ A simple system of axioms for spaces of signatures ⋮ Determinants of r-fold symmetric multilinear forms ⋮ Signatures of higher level on rings with many units ⋮ An abstract approach to higher level forms and rigidity ⋮ Central Extensions of n-Ordered Division Rings ⋮ Witt groups of Hermitian forms over \(\ast\)-fields ⋮ Orderings and signatures of higher level on multirings and hyperfields ⋮ Quadratic Forms ⋮ Higher level reduced Witt rings of skew fields ⋮ The Witt ring of a space of signatures ⋮ Holomorphy rings and higher level orders on skew fields ⋮ Reduced forms and reduced Witt rings of higher level ⋮ Higher level form schemes

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