Lemma 11.5.4. Let A be a finite central simple algebra over a field k. Then [A : k] is a square.
Proof. This is true because A \otimes _ k \overline{k} is a matrix algebra over \overline{k} by Lemma 11.5.3. \square
Lemma 11.5.4. Let A be a finite central simple algebra over a field k. Then [A : k] is a square.
Proof. This is true because A \otimes _ k \overline{k} is a matrix algebra over \overline{k} by Lemma 11.5.3. \square
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