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10

Is there exists a finite field in which the additive group not cyclic?(abstract algebra)

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5

Galois Field GF(4)

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5

If $f: \mathbb Q\to \mathbb Q$ is a homomorphism, prove that $f(x)=0$ for all $x\in\mathbb Q$ or $f(x)=x$ for all $x$ in $\mathbb Q$.

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