ScalingStacks

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Proposition 2.54. [Noether normalization] For strict affinoid algebra ๐’œ\mathcal{A}, there exists an injective finite and admissible Banach algebra homomorphism ๐’ฏdโ†’๐’œ\mathcal{T}_{d}\to\mathcal{A} for some d>0d>0. Moreover, dd equals the Krull dimension of ๐’œ\mathcal{A}. ([BGR, Theorem 6.1.2.1], [FvdP, Theorem 3.2.1])

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