A geometric setting for some properties of torsion-free modules. (Q1414996)

From introduction: In this paper we give examples of how certain properties of torsion-free modules that have been of recent interest arise in algebro-geometric settings. In particular, we find subrings of function fields whose torsion-free modules behave in ways similar to that of torsion-free Abelian groups, and we indicate how these module-theoretic properties distinguish the associated rings and their geometry.