I would be grateful if someone could get me started on the following problem:
"Prove that the field k(x) of rational functions over k in the variable x is not a finitely generated k-algebra." (Dummit and Foote Chapter 15, page 668)
Peter
I would be grateful if someone could get me started on the following problem:
"Prove that the field k(x) of rational functions over k in the variable x is not a finitely generated k-algebra." (Dummit and Foote Chapter 15, page 668)
Peter