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Integral equivalence of real algebraic function fields

In: Tatra Mountains Mathematical Publications, vol. 32, no. 3
Przemysław Koprowski
Detaily:
Rok, strany: 2005, 53 - 61
O článku:
In this paper we deal with a quaternion-symbol equivalence of two formally real algebraic function fields over a common real closed field. We investigate the conditions for it to map Witt ring of one Dedekind domain onto the Witt ring of another Dedekind domain. We find a necessary and sufficient condition for this property. It turns out to be analogous to $S$-integral equivalence known in the realms of algebraic number theory. In addition, we strengthen the results concerning tame equivalence. In particular, we show that any quaternion-symbol equivalence is tame at every real point at which it is defined.
Ako citovať:
ISO 690:
Koprowski, P. 2005. Integral equivalence of real algebraic function fields. In Tatra Mountains Mathematical Publications, vol. 32, no.3, pp. 53-61. 1210-3195.

APA:
Koprowski, P. (2005). Integral equivalence of real algebraic function fields. Tatra Mountains Mathematical Publications, 32(3), 53-61. 1210-3195.