Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 3, Section I, F

Groups, Rings and Modules | Part IB, 2009

Let FFF be a field. Show that the polynomial ring F[X]F[X]F[X] is a principal ideal domain. Give, with justification, an example of an ideal in F[X,Y]F[X, Y]F[X,Y] which is not principal.

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