Integral Domains in Which Nonzero Locally Principal Ideals are Invertible

D. D Anderson; Muhammad Zafrullah

doi:10.1080/00927870903529689

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Integral Domains in Which Nonzero Locally Principal Ideals are Invertible

Journal article

Peer reviewed

Integral Domains in Which Nonzero Locally Principal Ideals are Invertible

D. D Anderson and Muhammad Zafrullah

Communications in Algebra, Vol.39(3), pp.933-941

03/16/2011

DOI: 10.1080/00927870903529689

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Abstract

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 for some set of prime ideals of D, then D is an LPI domain.

Locally principal ideal

Finite t-character

Invertible ideal

Secondary 13F05, 13E99

Primary 13A15

Details

Title: Subtitle: Integral Domains in Which Nonzero Locally Principal Ideals are Invertible
Creators: D. D Anderson - Department of Mathematics , The University of Iowa
Muhammad Zafrullah - Department of Mathematics , The University of Iowa
Resource Type: Journal article
Publication Details: Communications in Algebra, Vol.39(3), pp.933-941
DOI: 10.1080/00927870903529689
ISSN: 0092-7872
eISSN: 1532-4125
Publisher: Taylor & Francis Group
Language: English
Date published: 03/16/2011
Academic Unit: Mathematics
Record Identifier: 9983985854202771

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