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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. 51–58