Dummit and Foote Exercise 1 on page 668 states the following:
"Prove the converse to Hilbert's Basis Theorem: if the polynomial ring R[x] is Noetherian then R is Noetherian"
Can someone please help me get started on this exercise.
Peter
Dummit and Foote Exercise 1 on page 668 states the following:
"Prove the converse to Hilbert's Basis Theorem: if the polynomial ring R[x] is Noetherian then R is Noetherian"
Can someone please help me get started on this exercise.
Peter