On the nonexcellence of field extensions .
Izhboldin, O.T. (1996)
Documenta Mathematica
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Displaying similar documents to “On the maximal unramified pro-2-extension of ℤ₂-extensions of certain real quadratic fields II”
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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.
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