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.
Complete Integral Closure and Strongly Divisorial Prime Ideals / Barucci, Valentina; Stefania, Gabelli; Moshe, Roitman. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - STAMPA. - 31:11(2003), pp. 5447-5465. [10.1081/agb-120023967]
Complete Integral Closure and Strongly Divisorial Prime Ideals
BARUCCI, Valentina;
2003
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.File allegati a questo prodotto
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