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Math Help - Ring homomorphism

  1. #1
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    Ring homomorphism

    If we have a ring homomorphism

    f:R to R'

    i am wondering for a subring of R which is by definition an ideal, will the homomorphic properties of the initial ring homomorphism be maintained between the setf(r)= R' and some subring S with the apllication of f, eg f(s)?
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    I don't understand your question! Also, a subring is not necessarily an ideal!
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