Complete Integral Closure and Strongly Divisorial Prime Ideals

Valentina Barucci, Stefania Gabelli, Moshe Roitman

Research output: Contribution to journalArticlepeer-review


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 prime strongly divisorial ideals is not necessarily completely integrally closed, although this property holds under some additional assumptions.

Original languageEnglish
Pages (from-to)5447-5465
Number of pages19
JournalCommunications in Algebra
Issue number11
StatePublished - Nov 2003


  • Complete integral closure
  • Divisorial ideal

ASJC Scopus subject areas

  • Algebra and Number Theory


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