Lemma 11.4.9. Let $A$ be a finite central simple algebra over $k$. Let $k'/k$ be a field extension. Then $A' = A \otimes _ k k'$ is a finite central simple algebra over $k'$.
Lemma 11.4.9. Let $A$ be a finite central simple algebra over $k$. Let $k'/k$ be a field extension. Then $A' = A \otimes _ k k'$ is a finite central simple algebra over $k'$.
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