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Thread: Ring

  1. August 18th 2012, 08:23 PM #1
    mathrld
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    Ring

    Is \{bi: b \in \mathbb{Z}\} where i^2=-1 a ring?
    I am assuming it isnt since (bi)*(ci)=-bc where b and c are elements of Z
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  2. August 18th 2012, 08:35 PM #2
    Deveno
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    Re: Ring

    that is correct, the set is not closed under multiplication.
    Thanks from mathrld
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  3. August 18th 2012, 08:52 PM #3
    mathrld
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    Re: Ring

    Thanks ))))
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