Complete integral closure and strongly divisorial prime ideals
Commutative Algebra
2007-05-23 v1
Abstract
It is well known that a domain without proper strongly divisorial ideals is completely integrally closed. In this paper we show that a domain without {\em prime} strongly divisorial ideals is not necessarily completely integrally closed, although this property holds under some additional assumptions.
Cite
@article{arxiv.math/0302223,
title = {Complete integral closure and strongly divisorial prime ideals},
author = {Valentina Barucci and Stefania Gabelli and Moshe Roitman},
journal= {arXiv preprint arXiv:math/0302223},
year = {2007}
}
Comments
18 pages