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arXiv · 1012.2538

When every principal ideal is flat

Fatima Cheniour·Najib Mahdou
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Abstract

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.

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Fatima Cheniour, Najib Mahdou. 2011-09-23. When every principal ideal is flat. https://arxiv.org/abs/1012.2538

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