This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

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 …

Let A and B be rings and Mand Në a right A-module and a right B-module respectively. Let
a: End (MA)→ End (NB) be either an isomorphism or an anti-isomorphism of their …

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 …

We consider the problem of characterizing by abstract properties the rings which are
isomorphic to the endomorphism ring End (RF) of some free module F over a ring R in a …

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We derive a necessary and sufficient condition that an isomorphism between the
endomorphism rings of modules be induced by a semi-linear isomorphism of the modules …

Let R be any associative ring with identity. Then the free left R-module RR (N) has
endomorphism ring isomorphic to RFM (R), the ring of N× N row-finite matrices over R. The …