- #1
oddiseas
- 73
- 0
Homework Statement
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.
Homework Equations
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?