5: Let \( G \) be the group of integers under addition. Let \( \bar{G}_{n} \) be the grou nder addition modulo \( n \). Define \( \phi: G \rightarrow \bar{G}_{n} \) by \( \phi(x)= \) the remainder \( n \) by \( n \). Show that \( \phi \) is a homomorphism.
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- Let \( G \) be the group of integers under addition. - Let \( \bar{G}_n \) be the group of integers under addition modulo \( n \). - Define the homomorphism \( \phi: G \rightarrow \bar{G}_n \) by \( \phi(x) = x \mod n \). Show more…
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