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Thread: ...norm takes products to products.

  1. April 23rd 2010, 08:54 PM #1
    NikoBellic
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    ...norm takes products to products.

    Define the norm of an element a + b*sqrt(2) in Z[sqrt(2)] to be a^2 - 2b^2. Prove that the norm takes products to products.

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  2. April 23rd 2010, 08:55 PM #2
    Drexel28
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    Quote Originally Posted by NikoBellic View Post
    Define the norm of an element a + b*sqrt(2) in Z[sqrt(2)] to be a^2 - 2b^2. Prove that the norm takes products to products.

    Thanks!
    This is just computation. What are you having trouble with?
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