(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let R be any ring and f:Z→R a homomorphism.

a)Show that f is completely determined by the single value f(1)

b)Determine all possible homomorphisms f in the case when R = Z.

2. Relevant equations

3. The attempt at a solution

This question has me totally confused. I have gone through all the properties of homororphisms in the book but i am still confused.How is the homomorphism completely determined by one value anyway?

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# Homework Help: Abstract algebra

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