Let [tex]f: Z \rightarrow F[/tex] be a ring homomorphism from Z(adsbygoogle = window.adsbygoogle || []).push({}); ontoa field F. Prove that F must be finite with a prime number of elements.

How would one go about proving this? I understand that multiplication and addition must be preserved in a homomorphism. I guess I must somehow show that a proper factor ring of Z is finite, but I'm not sure how.

I'd greatly appreciate any help. Thanks!

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# Ring Homomorphism Question

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