Complete integral closure and strongly divisorial prime ideals
classification
🧮 math.AC
keywords
divisorialidealsstronglyclosedcompletelydomainintegrallyprime
read the original 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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