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Thread: homomorphisms

  1. March 5th 2011, 07:14 AM #1
    jin_nzzang
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    homomorphisms

    how many homomorphisms are there from Z[x]/<x^2+1> to R?
    to C? Z/2Z? Z/3Z? Z/5Z?
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  2. March 5th 2011, 06:19 PM #2
    tonio
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    Quote Originally Posted by jin_nzzang View Post
    how many homomorphisms are there from Z[x]/<x^2+1> to R?
    to C? Z/2Z? Z/3Z? Z/5Z?

    \mathbb{Z}[x]/\langle x^2+1\rangle \leq \mathbb{C} as rings, so...

    Tonio
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