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Simple Algebras Over Rational Function Fields

Published online by Cambridge University Press:  20 November 2018

T. Nyman  and
G. Whaples
T. Nyman
Affiliation:
University of Wisconsin Center-Fox Valley, Menasha, Wisconsin
G. Whaples
Affiliation:
University of Massachusetts, Amherst, Massachusetts
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 31 , Issue 4 , 01 August 1979 , pp. 831 - 835
Copyright
Copyright © Canadian Mathematical Society 1979

References

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