If k is a field and x aqk then x v ix with equality if x
Question: If K is a field and X ⊂ AqK, then X ⊂ V (I(X)) with equality if X is an affine variety ? Let J be an ideal of a polynomial ring S over a field K. Prove that J ⊂ I(V (J)) with equality if J is the ideal of an affine variety.
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