Systems of quadratic forms
Albrecht Pfister (1979)
Mémoires de la Société Mathématique de France
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Albrecht Pfister (1979)
Mémoires de la Société Mathématique de France
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Kazimierz Szymiczek (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Craig Cordes, John Ramsey (1978)
Fundamenta Mathematicae
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Becher, Karim Johannes, Hoffmann, Detlev W. (2007)
Documenta Mathematica
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Berhuy, Grégory, Leep, David B. (2001)
Documenta Mathematica
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Beata Rothkegel (2013)
Acta Arithmetica
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Let R be a Dedekind domain whose field of fractions is a global field. Moreover, let 𝓞 < R be an order. We examine the image of the natural homomorphism φ : W𝓞 → WR of the corresponding Witt rings. We formulate necessary and sufficient conditions for the surjectivity of φ in the case of all nonreal quadratic number fields, all real quadratic number fields K such that -1 is a norm in the extension K/ℚ, and all quadratic function fields.
Dongho Byeon (2008)
Acta Arithmetica
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