English

On Stably Free Ideal Domains

Rings and Algebras 2012-09-25 v3

Abstract

We define a stably free ideal domain to be a Noetherian domain whose left and right ideals ideals are all stably free. We define also a semi-stably free ideal domain to be an Ore domain whose finitely generated left and right ideals are stably free. Some properties of these rings are studied.

Cite

@article{arxiv.1206.3668,
  title  = {On Stably Free Ideal Domains},
  author = {Henri Bourlès},
  journal= {arXiv preprint arXiv:1206.3668},
  year   = {2012}
}
R2 v1 2026-06-21T21:20:31.227Z