When every principal ideal is flat
Commutative Algebra
2011-09-26 v2
Abstract
This paper deals with well-known notion of -rings, that is, rings in which principal ideals are flat. We give a new characterization of -rings. Also, we provide a necessary and sufficient condition for (resp., when is a Dedekind domain or is a primary ideal) to be -ring. The article includes a brief discussion of the scope and precision of our results.
Cite
@article{arxiv.1012.2538,
title = {When every principal ideal is flat},
author = {Fatima Cheniour and Najib Mahdou},
journal= {arXiv preprint arXiv:1012.2538},
year = {2011}
}