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Math Help - In an integral domain

  1. #1
    MHF Contributor kalagota's Avatar
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    In an integral domain

    show: if p is a prime in an integral domain, then p is irreducible.

    waah.. thanks!!
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  2. #2
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    Quote Originally Posted by kalagota View Post
    show: if p is a prime in an integral domain, then p is irreducible.

    waah.. thanks!!
    This problem is easy, it just uses the definition of "prime" and "irreducible". Say that p = a*b where (p is a non-zero non-unit) now argue that one of these numbers a,b needs to be units.
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  3. #3
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    This problem is easy, it just uses the definition of "prime" and "irreducible". Say that p = a*b where (p is a non-zero non-unit) now argue that one of these numbers a,b needs to be units.

    that is where i am stuck..

    EDIT: got it already.. thanks TPH for the response!!
    Last edited by kalagota; December 11th 2007 at 07:44 PM.
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