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Prove an affine algebra over a field k

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Reference no: EM131586711

Question: Let A be an affine algebra over a field k and let k ⊂ K be a field extension. Prove

(a) dim(A) = dim(A ⊗k K).

(b) depth(A) = depth(A ⊗k K) if A is a standard algebra.

Reference no: EM131586711

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