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 …

This paper develops a representation-theoretic approach to the isogeny category C of
commutative group schemes of finite type over a field k, studied in our earlier work. We …

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 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 …

In this paper, several equivalent conditions for the existence of a generalized Jordan form for
matrices of locally nilpotent linear operators acting on an infinite countable dimensional …

The aim of the papers is to describe the left regular left quotient ring ${}'Q (R) $ and the right
regular right quotient ring $ Q'(R) $ for the following algebras $ R $: $\mS_n=\mS_1^{\tn} $ is …

ВЫЧИСЛЕНИЕ ГРУППЫ K1 КОЛЬЦА ОБОБЩЕННЫХ МАТРИЦ ПАКрылов Page 1
Сибирский математический журнал Июль август, 2014. Том 55, № 4 УДК 512.55 …

Various studies have explored the fascinating characteristics of modules over discrete
valuation domain. One notable finding is that the multiplication module is regarded as …

In his 1934 paper, G. Birkhoff poses the problem of classifying pairs $(G, U) $, where $ G $ is
an abelian group and $ U\subset G $ a subgroup, up to automorphisms of $ G $. In general …