Recently, the (ρ,σ)-injectivity
of modules with respect to a couple of preradicals has boen investigaled. In the
general case, the study of all the (ρ,σ)-injectivities reduces to that with σ a torsion
preradical. For a special class of rings the (ρ,σ)-injectivities are completely described.
The description of all quasi-injective modules over a Dedekind domain appears as a
simple corollary.