A note on perinormal domains
Commutative Algebra
2015-11-13 v1
Abstract
Recently, N. Epstein and J. Shapiro introduced and studied the perinormal domains: those domains A whose going down overrings are flat A-modules. We show that every Pr\"ufer v-multiplication domain is perinormal and has no proper lying over overrings. We also show that a treed perinormal domain is a Pr\"ufer domain. We give two pull-back constructions that produce perinormal/non-perinormal domains.
Keywords
Cite
@article{arxiv.1511.03832,
title = {A note on perinormal domains},
author = {Tiberiu Dumitrescu and Anam Rani},
journal= {arXiv preprint arXiv:1511.03832},
year = {2015}
}
Comments
6 pages