In the initial sections of this paper we classify arbitrary torsion-free abelin groups in mnner
similar to that used to classify the subgroups of the ra-tionals. An existence theorem is …

All groups considered irt this paper re assumed to be additively written abelian groups. We
follow for the most part the notation and terminology of [2]. We mention the following …

Torsion-free modules over a complete discrete valuation ring i are markedly different from
abelian groups or modules over an incomplote discrete valuation ring in that the only …

Introduction. In [7] and [8] we have determined the isomorphisms of the endomorphism rings
of two special classes of torsion-free modules. In [7] the modules were free, over principal …

Let G be a finite group. Given a ring R, by RG we denote the group ring of G with coefficients
in R. By an RG-module M we understand a left RG-module M that has a finite basis over R …

Torsion-free modules over a complete discrete valuation ring R are markedly different from
abelian groups or modules over an in-complete discrete valuation ring in that the only …

1. Introduction. In this paper we establish a correspondence between quasi-decompositions
of certain torsion free Abelian groups and decompositions of their quasi-endomorphism …

In the Introduction to this concise monograph, the author states his two main goals: first," to
make the theory of infinite abelian groups available in a convenient form to the mathematical …

An abelian group is $ E $-uniserial if its lattice of fully invariant subgroups is totally ordered.
Finite rank torsion-free reduced $ E $-uniserial groups are characterized. Such a group is a …

JOSEPH ROTMAN l Introduction, A p-primary abelian group is a module over the p-adic
integers; thus Ulm's theorem can be viewed as a classification of reduced countably …