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Math · Advanced Math
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Need help with parts d, e and fB5. Let K be a field, n є N and R-K(X, . . . , Xn]. (a) For SC R and V C Kn define V(S) and I(V). (b) Prove that T(V) is a radical ideal of R c)State the weak Nullstellensatz for R. (d) Give a list of all maximal ideals of R in the case K = C and n-2. (You do not need to justify your answer e) Let K-R, 2 and V-i,r2) E K2Is V V() for an ideal I of R? Justify your answer. (f) Let K = C, n = 2 and V ={(zi,za) E K2 : 1x1 = Iral). 1s V = V(1) for an ideal l of F? Justify your answer.

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