Tilting modules over small Dedekind domains

A Dedekind domain R is called small if card(R)less-than-or-equals, slant2ω and card(Spec(R))less-than-or-equals, slantω. Assuming Gödelʹs Axiom of Constructibility (V=L), we characterize tilting modules over small Dedekind domains. In particular, we prove that under V=L, a class of modules, image, is a tilting torsion class iff there is a set Psubset of or equal toSpec(R) such that image.