JournalspmVol. 70 / No. 1DOI 10.4171/pm/1925

When every principal ideal is flat

  • Fatima Cheniour

    Université Sidi Mohamed Ben Abdellah, Fes, Morocco
  • Najib Mahdou

    Université Sidi Mohamed Ben Abdellah, Fes, Morocco
When every principal ideal is flat cover

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Abstract

This paper deals with the well-known notion of PF-rings, that is, rings in which principal ideals are flat. We give a new characterization of PF-rings. Also we provide a necessary and sufficient condition for (resp. when is a Dedekind domain or is a primary ideal) to be a PF-ring. The article includes a brief discussion of the scope and precision of our results.