JournalspmVol. 70, No. 1pp. 51–58

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
Download PDF

A subscription is required to access this article.

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 RIR\bowtie I (resp. R/IR/I when RR is a Dedekind domain or II is a primary ideal) to be a PF-ring. The article includes a brief discussion of the scope and precision of our results.

Cite this article

Fatima Cheniour, Najib Mahdou, When every principal ideal is flat. Port. Math. 70 (2013), no. 1, pp. 51–58

DOI 10.4171/PM/1925