The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

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 …

This paper is a somewhat rewritten and shortened version of a paper first written many years
ago but never published. The paper introduces a class of modules over a discrete valuation …

1. Introduction. It is only within the last few years that research on mixed Abelian groups has
begun to be a major part of Abelian group theory. This paper is intended as an introduction …

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 provides the first systematic treatment of modules over discrete valuation
domains, which play an important role in various areas of algebra, especially in commutative …

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 …

Throughout this paper, $ R $ will denote an arbitrary but fixed complete discrete valuation
ring. We shall show that two reduced $ R $-modules which are direct sums of countably …

1. Introduction. The purpose of this paper is to announce the completion of a classification
(up to isomorphism) of all modules which are direct sums of countably generated modules …

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