# 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'.

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#### Solution Preview

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 ...

#### Solution Summary

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

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