中文

Complete integral closure and strongly divisorial prime ideals

交换代数 2007-05-23 v1

摘要

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.

引用

@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}
}

备注

18 pages