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  1. Newsgroups: sci.math.research
  2. Path: sparky!uunet!haven.umd.edu!darwin.sura.net!zaphod.mps.ohio-state.edu!pacific.mps.ohio-state.edu!linac!att!news.cs.indiana.edu!ux1.cso.uiuc.edu!news.cso.uiuc.edu!usenet
  3. From: ozan@nada.kth.se (Ozan \Vktem)
  4. Subject: Noetherian sub k-algebras of k[x,y]
  5. Nntp-Posting-Host: dront.nada.kth.se
  6. Message-ID: <1992Nov10.084040.3131@kth.se>
  7. Originator: ozan@dront.nada.kth.se
  8. Sender: Daniel Grayson <dan@math.uiuc.edu>
  9. Reply-To: ozan@nada.kth.se (Ozan \Vktem)
  10. Followup-To: poster
  11. X-Submissions-To: sci-math-research@uiuc.edu
  12. Organization: Royal Institute of Technology, Stockholm, Sweden
  13. X-Administrivia-To: sci-math-research-request@uiuc.edu
  14. Approved: Daniel Grayson <dan@math.uiuc.edu>
  15. Date: Tue, 10 Nov 1992 08:40:40 GMT
  16. Keywords: Noetherian
  17. Lines: 11
  18.  
  19. Let A be a k-subalgebra of k[x,y], i.e the polynomial ring in two variables
  20. over a given field k. Now, if A is Noetherian is A finitely generated as
  21. k-algebra?
  22.  
  23. I have a ''semi solution'' which is far from complete and too complicated.
  24. Therefore I'm grateful for any suggestions and please also reply by e-mail
  25. (ozan@matematik.su.se).
  26.  
  27.                                                      Thanks in advance,
  28.                                                        Ozan Oktem
  29.  
  30.