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Math Help - Homomorphism

  1. #1
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    Homomorphism

    Prove that the map from
    pi : (Z; +) -> (Z_n; +)
    that takes x to [x]_n is a group homomorphism.


    I know what a homomorphism is, not sure how to prove this case...
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  2. #2
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    Quote Originally Posted by CarmineCortez View Post
    Prove that the map from
    pi : (Z; +) -> (Z_n; +)
    that takes x to [x]_n is a group homomorphism.


    I know what a homomorphism is, not sure how to prove this case...

    Is it true that [z+w]_n = [z]_n + [w]_n? This is the same as asking: is addition modulo n well defined?

    Tonio
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