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Math Help - field

  1. #1
    Junior Member
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    Oct 2009
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    56

    field

    Describe the multiplication in the ring F[x]/(x-x). Is this a field? What type of element is [x]?
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  2. #2
    Newbie
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    Feb 2010
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    F[x] is a PID and therefore quotients of F[x] will be fields if and only if the ideal is generated by an irreducible polynomial. Is the polynomial you have irreducible?
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