Suppose \(R\) is a commutative Noetherian ring. Let \(R[x]\) denote the ring of polynomial with coefficients in \(R\). Prove that \(R[x]\) is Noetherian.
Question
Math 6310 • Algebra
Spring 2005 • Question 5
Question
Spring 2005 • Question 5
Suppose \(R\) is a commutative Noetherian ring. Let \(R[x]\) denote the ring of polynomial with coefficients in \(R\). Prove that \(R[x]\) is Noetherian.