When every principal ideal is flat
Fatima CheniourUniversité Sidi Mohamed Ben Abdellah, Fes, Morocco
Najib MahdouUniversité Sidi Mohamed Ben Abdellah, Fes, Morocco
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.
Cite this article
Fatima Cheniour, Najib Mahdou, When every principal ideal is flat. Port. Math. 70 (2013), no. 1, pp. 51–58DOI 10.4171/PM/1925