References Page 1 References [1] FW Anderson and KR Fuller, Rings and Categories of
Modules, SpringerVerlag, New York (1974). [2] VI Arnautov, ST Glavatsky, and AV Mikhalev …

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 …

This book initiates a systematic, in-depth study of Modules Over Valuation Domains. It
introduces the theory of modules over commutative domains without finiteness conditions …

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 …

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 …

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 …

Stacked submodules of torsion modules over discrete valuation domains Page 1 BULL.
AUSTRAL. MATH. SOC. 13C12, 20K10, 20K25 VOL. 68 (2003) [439-447] STACKED …

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The use of the finite topology on endomorphism rings - ScienceDirect Skip to main contentSkip
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KAPLANSKY'S PROBLEM ON VALUATION RINGS Page 1 proceedings of the american
mathematical society Volume 105, Number I, January 1989 KAPLANSKY'S PROBLEM ON …