On quasi-Pr\"{u}fer and UM$t$ domains

Parviz Sahandi

On quasi-Pr\"{u}fer and UM$t$ domains

Commutative Algebra 2011-09-27 v1

Authors: Parviz Sahandi

Abstract

In this note we show that an integral domain $D$ of finite $w$ -dimension is a quasi-Pr\"{u}fer domain if and only if each overring of $D$ is a $w$ -Jaffard domain. Similar characterizations of quasi-Pr\"{u}fer domains are given by replacing $w$ -Jaffard domain by $w$ -stably strong S-domain, and $w$ -strong S-domain. We also give new characterizations of UM $t$ domains.

Keywords

quasi-Prüfer domain UMt domain w-Jaffard domain w-stably strong S-domain w-strong S-domain w-dimension overring

Cite

@article{arxiv.1109.5330,
  title  = {On quasi-Pr\"{u}fer and UM$t$ domains},
  author = {Parviz Sahandi},
  journal= {arXiv preprint arXiv:1109.5330},
  year   = {2011}
}

Comments

6 Pages

Related papers

View all related →