This review paper is a continuation of two previous review papers devoted to properties of
modules over discrete valuation domains. The first part of this work was published in the …

1. Introduction. In this paper we prove a structure theorem for reduced countably generated
7?-mod ules of finite rank, where 7? is a complete discrete valuation ring (eg, the p-adic …

This paper deals with the existence and uniqueness of direct sum decompositions of finitely
generated modules, and finite rank torsion-free modules, over valuation domains. In the first …

Direct sum decompositions problems for torsion-free modules of finite rank have been the
subject of recent activity in the theory of modules over valuation domains (see eg [11]) …

A RESULT BY KULIKOV THAT DOES NOT EXTEND TO MODULES OVER GENERAL
VALUATION DOMAINS Page 1 proceedings of the american mathematical society Volume 111 …

R. Göbel et al. (eds.), Abelian Group Theory © Springer-Verlag Berlin Heidelberg 1983 Page
1 ON PROJECTIVE nIMENSIONS OF MOnllLES OVER VALUATION nOMAINS L. Fuchs In this …

While investigating countably generated modules over a discrete valuation ring, J. Rotman
(1) singled out the class of taut modules as being worthy of a close look. He showed that in …

1. Introduction and preliminaries. A left R-module M is called locally projective [10] if given
an epimorphismf: A-~ B, some 9 6 Hom (M, B) and a finitely generated submodule F of M …

Introduction. In the study of finitely generated modules over valuation domains, developed
by the authors in [4],[7] and [8], a relevant share has to be assigned to indecomposable …

Discrete valuation domains form a class of local domains close to division rings. However, it
follows from our definition that a division ring is not a discrete valuation domain. A discrete …