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Simple Algebras Over Rational Function Fields
Published online by Cambridge University Press: 20 November 2018
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The well-known Hasse-Brauer-Noether theorem states that a simple algebra with center a number field k splits over k (i.e., is a full matrix algebra) if and only if it splits over the completion of k at every rank one valuation of k. It is natural to ask whether this principle can be extended to a broader class of fields. In particular, we prove here the following extension.
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- Copyright © Canadian Mathematical Society 1979
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