Let k be a field and let a be an affine k-algebra prove


Question: Let K be a field and let A be an affine K-algebra. Prove that A is Artinian if and only if dimK(A)? Let I and J be two ideals in a polynomial ring S over a field K. If rad (I) = rad (J), prove that V (I) = V (J).

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Mathematics: Let k be a field and let a be an affine k-algebra prove
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