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Complete integral closure and strongly divisorial prime ideals

Valentina Barucci·Stefania Gabelli·Moshe Roitman
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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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Valentina Barucci, Stefania Gabelli, Moshe Roitman. 2003-02-19. Complete integral closure and strongly divisorial prime ideals. https://arxiv.org/abs/math/0302223

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