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Math Help - Need helpful hints

  1. #1
    Junior Member
    Joined
    Dec 2008
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    Need helpful hints

    Hey everyone. If anyone could point me towards a hint on the following problem I would greatly appreciate it.

    Let n and m be positive integers, with n > m ≥ 2. Describe as completely as you can the possible ring homomorphisms from Zn to Zm. Under what conditions on n and n will there be nontrivial homomorphisms? Under what conditions on n and m will there be surjective homomorphisms?
    Last edited by HeirToPendragon; December 9th 2009 at 06:53 AM.
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  2. #2
    MHF Contributor

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    Start by looking at a couple of simple examples. What are the possible homomorphisms from Z_3 to Z_2? What about Z_4 to Z_2? What about Z_6 to Z_2 or Z_3?
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