On quadratic forms whose total signature is zero mod \(2^n\). Solution to a problem of M. Marshall

DOI10.1007/s002220050246zbMath0908.11022OpenAlexW376655269MaRDI QIDQ1266338

Francisco Miraglia, Max A. Dickmann

Publication date: 29 November 1998

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050246

zbMATH Keywords

Witt ringformally real fieldsspecial groupspythagorean fieldsBoolean hullBoolean homomorphismsinductive graded ring of exponent two

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)

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K-theories and Free Inductive Graded Rings in Abstract Quadratic Forms Theories, Faithfully quadratic rings, The profinite hull of special groups and local-global principles, Bounds for the representation of quadratic forms., Quadratic form theory over preordered von Neumann-regular rings, Powers of the fundamental ideal in the Witt ring, Algebraically constructible chains., Functorial relationships between multirings and the various abstract theories of quadratic forms, Algebraic \(K\)-theory of special groups