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    Ring Homomorphisms

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    Let phi be a homomorphism of a ring R with unity onto a nonzero ring R'. Let u be a unit in R. Show that phi (u) is a unit in R'.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:14 pm ad1c9bdddf
    https://brainmass.com/math/ring-theory/ring-homomorphisms-35913

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    since u is identiy in R, ur=ru=r for each r in R.

    since phi is a homomorphism from R onto R', for each r' in R' there exists r in R such that
    phi(r)=r'.

    let ...

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    Ring Homomorphisms are investigated. The response received a rating of "5" from the student who originally posted the question.

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