Complete integral closure and strongly divisorial prime ideals

2003/02/19 by Valentina Barucci, Barucci, Valentina, Stefania Gabelli +3
Mathematics · #13A15 #13B22 #13G05 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A15 #msc:13B22 #msc:13G05

paper · pdf · doi:10.48550/arxiv.math/0302223

18 pages

arxiv created 2003/02/19 · arxiv updated 2009/11/30

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.

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