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Math Help - Rings: when the center is an ideal

  1. #1
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    Rings: when the center is an ideal

    When is the center Z(R) also an ideal of R?
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  2. #2
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    Quote Originally Posted by smacktalk88 View Post

    When is the center Z(R) also an ideal of R?
    i guess the ring R is assumed to have 1? then Z(R) is an ideal iff R is commutative, i.e. Z(R) = R, because 1_R \in Z(R).
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    Can you prove that? I am having trouble interpreting what you have said there.
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