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Communications in Algebra Volume 31, 2003 - Issue 11
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Original Articles

Complete Integral Closure and Strongly Divisorial Prime Ideals

Valentina Barucci Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale A. Moro, Rome, Italy; Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale A. Moro, 5, Rome, 00185, ItalyCorrespondence[email protected]
,
Stefania Gabelli Dipartimento di Matematica, Università degli Studi Roma Tre, Largo S. L. Murialdo, Rome, Italy
&
Moshe Roitman Department of Mathematics, University of Haifa, Mount Carmel, Haifa, Israel
Pages 5447-5465 | Received 01 Apr 2002, Published online: 31 Aug 2006
 
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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 prime strongly divisorial ideals is not necessarily completely integrally closed, although this property holds under some additional assumptions.

1991 Mathematics Subject Classification:

Acknowledgments

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