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Question: exercise 3 in f a field we denote by n...

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Exercise 3. In F a field, we denote by n the element 1+..1EF (where 1 is added to itself n-times) Show that if n = 0 in F, then the smallest prime divisor of n is zero in F as wel This prime number is called the characteristic of F (If for all n, n f 0 in F we say F has characteristic 0). Show also that the characteristic of a field is unique.
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