Globalizationo p some local properties in krull domains

D.D. Anderson

doi:10.1090/S0002-9939-1982-0652428-1

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Globalizationo p some local properties in krull domains

Journal article

Open access

Peer reviewed

Globalizationo p some local properties in krull domains

D.D. Anderson

Proceedings of the American Mathematical Society, Vol.85, pp.141-145

1982

DOI: 10.1090/S0002-9939-1982-0652428-1

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Abstract

Let R be a Krull domain. It is shown that a nonzero locally principal ideal is invertible. This is used to show that Cl(R)/Pic(R) is torsion if and only if Cl(Rm) is torsion for each maximal ideal M of R. Here Cl(R) and Pic(R) denote the divisor class group and Picard group of R, respectively. © 1982 American Mathematical Society.

Divisor class group

Krull domain

Locally factorial

Details

Title: Subtitle: Globalizationo p some local properties in krull domains
Creators: D.D. Anderson
Resource Type: Journal article
Publication Details: Proceedings of the American Mathematical Society, Vol.85, pp.141-145
DOI: 10.1090/S0002-9939-1982-0652428-1
ISSN: 0002-9939
Language: English
Date published: 1982
Academic Unit: Mathematics
Record Identifier: 9984230626402771

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