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Complete integral closure and strongly divisorial prime ideals

Valentina Barucci, Stefania Gabelli, Moshe Roitman

math.ACarXiv:math/0302223

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

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