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Math Help - Ideal of polynomial ring

  1. #1
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    Ideal of polynomial ring

    Let I=(xy, xz, yz) be an ideal of \mathbb{C}[x,y,z].
    Prove that I cannot be generated by 2 elements.
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  2. #2
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    Is it possible to generate the element xy+xz+yz with only two of those elements?
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  3. #3
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    Quote Originally Posted by siclar View Post
    Is it possible to generate the element xy+xz+yz with only two of those elements?
    i think you misunderstood the question! the claim is that it's not possible that two elements of I=(xy,xz,yz) generate I.
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