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Math Help - Center of a Ring and an Ideal

  1. #1
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    Center of a Ring and an Ideal

    When is the center of a ring Z(R) an ideal of R?
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by olgaviolet View Post
    When is the center of a ring Z(R) an ideal of R?
    It's only an ideal when \mathcal{Z}(R)=R since 1\in\mathcal{Z}(R), or are you talking about non-unital rings?
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    We havent learned about non-unital rings. I am not sure what they are.
    thank you
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    non-unital rings are rings that do not possess a mutliplicative identity element. an example is the ring 2Z.
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