Essentially indecomposable modules over a complete discrete valuation ring (Q5896462)

Torsionfree modules over a complete discrete valuation ring R are different from abelian groups or modules over an incomplete discrete valuation ring in that the only indecomposable modules which exist have rank one and so are isomorphic to R itself or the field Q of fractions of R. In this paper it is investigated how close a reduced torsionfree R- module of infinite rank can come to being indecomposable. The results bear a strong similarity to those on p-groups.