Prove that the map from pi : (Z; +) -> (Z_n; +) that takes x to [x]_n is a group homomorphism. I know what a homomorphism is, not sure how to prove this case...
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Originally Posted by CarmineCortez Prove that the map from pi : (Z; +) -> (Z_n; +) that takes x to [x]_n is a group homomorphism. I know what a homomorphism is, not sure how to prove this case... Is it true that [z+w]_n = [z]_n + [w]_n? This is the same as asking: is addition modulo n well defined? Tonio
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