Integral Domains in Which Nonzero Locally Principal Ideals are Invertible.
In: Communications in Algebra, Jg. 39 (2011-03-01), Heft 3, S. 933-941
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Zugriff:
We study locally principal ideals and integral domains, called LPI domains, in which every nonzero locally principal ideal is invertible. We show that a finite character intersection of LPI overrings is an LPI domain. Hence if a domain D is a finite character intersection [image omitted] for some set of prime ideals of D, then D is an LPI domain. [ABSTRACT FROM AUTHOR]
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Titel: |
Integral Domains in Which Nonzero Locally Principal Ideals are Invertible.
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Autor/in / Beteiligte Person: | Anderson, D.D. ; Zafrullah, Muhammad |
Zeitschrift: | Communications in Algebra, Jg. 39 (2011-03-01), Heft 3, S. 933-941 |
Veröffentlichung: | 2011 |
Medientyp: | academicJournal |
ISSN: | 0092-7872 (print) |
DOI: | 10.1080/00927870903529689 |
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