2010/12/12 by Cheniour, Fatima, Mahdou, Najib
#13D02 #13D05 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1012.2538
This paper deals with 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 R\bowtie I (resp., R/I when R is a Dedekind domain or I is a primary ideal) to be PF-ring. The article includes a brief discussion of the scope and precision of our results.