Lemma 64.31.6. Algebraicity of eigenvalues. If $\Lambda $ is a field then the eigenvalues $t_ v$ for $f\in C(\Lambda )$ are algebraic over the prime subfield $\mathbf{F} \subset \Lambda $.
Proof. Follows from Proposition 64.31.5. $\square$
Lemma 64.31.6. Algebraicity of eigenvalues. If $\Lambda $ is a field then the eigenvalues $t_ v$ for $f\in C(\Lambda )$ are algebraic over the prime subfield $\mathbf{F} \subset \Lambda $.
Proof. Follows from Proposition 64.31.5. $\square$
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