Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 2, Section I, 1G1 G1G

Groups, Rings and Modules | Part IB, 2021

Let MMM be a module over a Principal Ideal Domain RRR and let NNN be a submodule of MMM. Show that MMM is finitely generated if and only if NNN and M/NM / NM/N are finitely generated.

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