Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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FINITELY GENERATED PROJECTIVE MODULES OVER NOETHERIAN RINGS

  • LEE, SANG CHEOL (Department of Mathematics Education and Institute of Pure and Applied Mathematics Chonbuk National University) ;
  • KIM, SUNAH (Department of Mathematics Chosun University)
  • Received : 2006.11.07
  • Published : 2006.12.31
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Abstract

It is well-known that every finitely generated torsion-free module over a principal ideal domain is free. This will be generalized. We deal with ideals of the finite, external direct product of certain rings. Finally, if M is a torsion-free, finitely generated module over a reduced, Noetherian ring A, then we prove that Ms is a projective module over As, where $S=A{\setminus}(A)$.

Keywords

Acknowledgement

Supported by : Chonbuk National University