Tilting modules over valuation domains

The structure of tilting modules over valuation domains R is investigated. It is proved that the S-divisible modules delta(S) introduced by Fuchs-Salce are canonical generators for the tilting torsion classes over valuation domains, assuming V = L and \(R) over cap \ less than or equal to 2(N0) when the tilting generator has uncountable rank, where (R) over cap is the pure-injective hull of R.