Let \(R\) be a Noetherian ring. Prove that any surjective ring homomorphism \(\varphi :R\longrightarrow R\) is an isomorphism.
Question
Math 6310 • Algebra
Spring 2016 • Question 5
Question
Spring 2016 • Question 5
Let \(R\) be a Noetherian ring. Prove that any surjective ring homomorphism \(\varphi :R\longrightarrow R\) is an isomorphism.