(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that [tex]\phi[/tex] : Z_{p}[tex]\rightarrow[/tex] Z_{p},

[tex]\phi[/tex] (a) = a^{p}is a ring homomorphism, find the ker [tex]\phi[/tex]

2. Relevant equations

3. The attempt at a solution

So show that a [tex]_{p}[/tex] + b [tex]_{p}[/tex] = (a + b)^{p}?

and (ab)^{p}= (a^{p})(b^{p})?

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# Homework Help: Ring homomorphism

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