Matching Witts locally and globally
Kazimierz Szymiczek (1991)
Mathematica Slovaca
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Kazimierz Szymiczek (1991)
Mathematica Slovaca
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Kazimierz Szymiczek (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Alfred Czogała (1996)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Przemysław Koprowski (2005)
Acta Mathematica Universitatis Ostraviensis
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The starting point of this note is the observation that the local condition used in the notion of a Hilbert-symbol equivalence and a quaternion-symbol equivalence — once it is expressed in terms of the Witt invariant — admits a natural generalisation. In this paper we show that for global function fields as well as the formally real function fields over a real closed field all the resulting equivalences coincide.
Andrzej Sładek (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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