Given a global number field $K$ and a prime $p$, the **local algebra** for $K$ is $K\otimes \Q_p$. This is a finite separable algebra over $\Q_p$ which is isomorphic to a finite direct product of finite extension fields of $\Q_p$.

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- Review status: reviewed
- Last edited by Alina Bucur on 2018-07-08 01:08:32

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- 2018-07-08 01:08:32 by Alina Bucur (Reviewed)