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Math Help - prove N is a maximal ideal iff N is a prime ideal

  1. #1
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    prove N is a maximal ideal iff N is a prime ideal

    Hi guys,
    I missed class this day and now im having homework trouble. The question is : Let N be an ideal in Z-sub n. Prove N is a maximal ideal if and only if N is a prime ideal.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Hint

    Every finite domain is a field.
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