Find all ring-homomorphisms

Thanks!

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- Sep 24th 2008, 06:18 AMroporteRing-Homomorphisms
Find all ring-homomorphisms

Thanks! - Sep 24th 2008, 06:31 AMThePerfectHacker
First, by definition - (by definition for ring homomorphism for commutative rings).

A ring homomorphism is also a group homomorphism between and . Since generates the group it means this homomorphism is completely determined by its value on this element. Can you finish it now?