Crossref Citations
This article has been cited by the following publications. This list is generated based on data provided by Crossref.
Platonov, V. P.
and
Yanchevskii, V. I.
1996.
Algebra IX.
Vol. 77,
Issue. ,
p.
121.
Published online by Cambridge University Press: 20 November 2018
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.