Question: Consider the set Zz with p a prime number. Prove using the Euclid lemma (for p prime, pab = pa Ap b) that the map

Consider the set Zz with p a prime number. Prove using the Euclid lemma (for p prime, pab = pa Ap b) that the map f : Zz -> Zz defined by f(x) = kr with p /k is an injection. What you can conclude about this map considering that Zo is a finite set? Does it have an inverse f

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