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Thread: No of Homomorphisms

  1. January 28th 2010, 08:22 PM #1
    Chandru1
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    No of Homomorphisms

    Find the no of ring homomorphisms f: \mathbb{Z} \to \mathbb{Z}_{30}
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  2. January 29th 2010, 04:01 AM #2
    NonCommAlg
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    Quote Originally Posted by Chandru1 View Post
    Find the no of ring homomorphisms f: \mathbb{Z} \to \mathbb{Z}_{30}
    Hint: look at f(1). the number of ring homomorphisms is the number of roots of the equation x^2=x in \mathbb{Z}/30\mathbb{Z}.
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