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If $A$ is a noetherian ring, then a ring homomorphism $f: A \to A$ is surjective iff it is an isomorphism.
(see the accepted answer of this questionquestion)
(see the accepted answer of this question)
If $A$ is a noetherian ring, then a ring homomorphism $f: A \to A$ is surjuctivesurjective iff it is an isomorphism. See
(see the accepted answer of this question.)
If $A$ is a noetherian ring, then a ring homomorphism $f: A \to A$ is surjuctive iff it is an isomorphism. See the accepted answer of this question.
