Given a field, is there a functorial construction of a PID algebra over it that has infinitely many prime ideals and is not finitely generated? This excludes the ring of univariate polynomials and the ring of formal power series. I need this to construct some counterexample.
put on hold as off-topic by Steven Landsburg, Bugs Bunny, RP_, LSpice, Sean Lawton 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question does not appear to be about research level mathematics within the scope defined in the help center." – Steven Landsburg, Bugs Bunny, RP_, LSpice, Sean Lawton