English

On valuation rings

Commutative Algebra 2009-06-25 v1

Abstract

In this paper we provide necessary and sufficient conditions for R=AE R=A\propto E to be a valuation ring where EE is a non-torsion or finitely generated AA-module. Also, we investigate the (n,d) (n,d) property of the valuation ring.

Keywords

Cite

@article{arxiv.0906.4505,
  title  = {On valuation rings},
  author = {Mohammed Kabbour and Najib Mahdou},
  journal= {arXiv preprint arXiv:0906.4505},
  year   = {2009}
}
R2 v1 2026-06-21T13:17:24.422Z