Prove that if \(A\) is a commutative Noetherian ring, then \(A[X_1,\ldots ,X_n]\) (the polynomial ring in \(n\) variables over \(A\)) is Noetherian.
Question
Math 6310 • Algebra
Fall 1999 • Question 7
Question
Fall 1999 • Question 7
Prove that if \(A\) is a commutative Noetherian ring, then \(A[X_1,\ldots ,X_n]\) (the polynomial ring in \(n\) variables over \(A\)) is Noetherian.