Complete integral closure and strongly divisorial prime ideals

Details Complete integral closure and strongly divisorial prime ideals Complete integral closure and strongly divisorial prime ideals

2003-02-19

arxiv.org/abs/math/0302223v1

Mathematics

Commutative Algebra

18 pages

Scientific paper

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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