Define ##\Omega: \mathbb{Z_{p^n}} \rightarrow \mathbb{Z_{p^n}}## where ##p## is prime(adsbygoogle = window.adsbygoogle || []).push({});

with ##\ \ \ \ \ \ \Omega(x) = x^{p}##

I am trying to prove this is a ##Hom## underaddition.

any ideas?

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# How to show this is a Hom.

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