Vol. 107, No. 1, 1983

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 329: 1
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Online Archive
The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author index
To appear
Other MSP journals
Localizations of torsion theories

Willy Brandal and Erol Barbut

Vol. 107 (1983), No. 1, 27–37

If R is an h-local domain, then the hereditary torsion theories of R are described in terms of the hereditary torsion theories of RM for all maximal ideals M of R. By means of an example, it is shown that h-local is too strong a hypothesis for this localization property. As an application, all the hereditary torsion theories of h-local Prüfer domains are described. Some equivalent conditions for a domain to be h-local are generalized to conditions about hereditary torsion theories.

Mathematical Subject Classification 2000
Primary: 13G05
Secondary: 13D30, 18E40, 16A63
Received: 30 July 1981
Revised: 15 March 1982
Published: 1 July 1983
Willy Brandal
Erol Barbut