The review presents an analysis of results of the Abelian group theory, as well as rings and
modules, which concern the definability of algebraic structures by their endomorphism rings …

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 …

By a well known theorem of K. Morita, any equivalence between full module categories over
rings R and S, are given by a bimodule RPS, such that RP is a finitely generated projective …

With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-
Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian …

Аннотация В обзорной статье представлен анализ результатов теории абелевых
групп, а также колец и модулей, которые касаются определяемости алгебраических …

This paper contains a review of results on endomorphism rings of Abelian groups. On one
hand, this rapidly developing section of contemporary algebra can be considered as a part …

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 …

Let A be an Artin algebra. As we know, the construction of the well-known Auslander-Reiten
sequence is based on the natural (A, A)-bimodule A and the induced transpose, where the …

The paper contains Parts 1, 2, 3, and 4 of a review of the authors on endomorphism rings of
Abelian groups. Most of the results are given with proofs. Part 1 contains some general …

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 …