INJECTIVE HULLS OF TORSION FREE ABELIAN GROUPS

Abstract

Let G be a torsion free abelian group and E the endomorphism ring of G. Then G can be regarded as a left E-module in the natural way. We discuss the injective hull i((,E)G) of the module (,E)G. In particular, we consider the relationships between i((,E)G), the quasi-endomorphism ring of G, and the full subgroups of G.