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Math Help - Epimorphism

  1. #1
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    Epimorphism

    Let R be a ring with unity, 1. Let S be a ring and suppose phi: R --> S is an epimorphism. Prove that phi(1) is a unity for S.
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  2. #2
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    Quote Originally Posted by Coda202 View Post
    Let R be a ring with unity, 1. Let S be a ring and suppose phi: R --> S is an epimorphism. Prove that phi(1) is a unity for S.

    Let s be in S ==> there exists r in R s.t. F(r) = s (F instead phi) ==>
    s*f(1) = f(r)*f(1) = f(r*1) = f(r) = s/

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