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Radical Ideals

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Here A^n is affine n-space over a fixed algebraically closed field i.e. is the set of all n-tuples of elements of that algebraically closed field question asks to show that "ideal of an algebraic variety is radical"

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A radical ideal is investigated. The solution is detailed and well presented.

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Theorem. The ideal of a subset Z of the affine space is radical.

Proof: it is ...

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