Tilting modules over Prüfer domains are investigated. Tilting torsion classes over these domains correspond bijectively to finitely generated localizing systems of ideals. For each such system F, a generalized Fuchs divisible module $\delta_F$ is constructed which generates the corresponding tilting torsion class.
F-divisible modules and tilting modules over Pruefer domains
SALCE, LUIGI
2005
Abstract
Tilting modules over Prüfer domains are investigated. Tilting torsion classes over these domains correspond bijectively to finitely generated localizing systems of ideals. For each such system F, a generalized Fuchs divisible module $\delta_F$ is constructed which generates the corresponding tilting torsion class.
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