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On the Milnor exact sequence for global function fields

Marzena Ciemała — 2000

Acta Mathematica et Informatica Universitatis Ostraviensis

Natural homomorphisms of Witt rings of orders in algebraic number fields

Marzena Ciemała — 2004

Mathematica Slovaca

Natural homomorphisms of Witt rings of orders in algebraic number fields. II

Marzena Ciemała — 2006

Acta Mathematica Universitatis Ostraviensis

We prove that there are infinitely many real quadratic number fields $K$ with the property that for infinitely many orders $𝒪$ in $K$ and for the maximal order $R$ in $K$ the natural homomorphism $ϕ : W 𝒪 \to W R$ of Witt rings is surjective.

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