Vol. 107, No. 1, 1983

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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