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Math Help - Characteristic of an integral domain

  1. #1
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    Characteristic of an integral domain

    I suppose this should be an easy question. However, I am stuck with this:

    Let D be an integral domain, with 4 elements D=\{0,e,a,b\}, where e is the unity. Prove that D has characteristic 2.

    Thanks again.
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  2. #2
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    Quote Originally Posted by akolman View Post
    I suppose this should be an easy question. However, I am stuck with this:

    Let D be an integral domain, with 4 elements D=\{0,e,a,b\}, where e is the unity. Prove that D has characteristic 2.

    Thanks again.
    characteristic of a finite integral domain is always a prime number. it also has to divide the order of ring, which is 4. so it has to be 2.
    Last edited by NonCommAlg; September 18th 2009 at 03:08 PM.
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  3. #3
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    Thanks again for your help.
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