Let $f\colon\mathbb Z\to R$ be a surjective homomorphism. Show that $R$ is isomorphic either to $\mathbb Z$ or to the ring $\mathbb{Z/nZ}$ for suitable $n \geq 1$
I have no clue on this question, please help me, thanks
Let $f\colon\mathbb Z\to R$ be a surjective homomorphism. Show that $R$ is isomorphic either to $\mathbb Z$ or to the ring $\mathbb{Z/nZ}$ for suitable $n \geq 1$
I have no clue on this question, please help me, thanks