Question: Consider the abelian group ZZ under addition. Define a binary operation [a] * [b] := [a . b].Prove that the ring ZZ is a field

Consider the abelian group ZZ under addition. Define a binary operation [a] * [b] := [a . b].Prove that the ring ZZ is a field if and only if n is prime. (Hint: Use the Euclidean algorithm.) For p a prime, we denote the field Z/pZ by Fo. It is a finite field with p elements

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