Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups

被引：0

作者：

Blagoveshchenskaya, E. A. ^{[1
]}

Mikhalev, A. V. ^{[2
]}

机构：

[1] Emperior Alexander I St Petersburg State Transport, Emperior Alexander 1St, St Petersburg 190031, Russia

[2] Moscow MV Lomonosov State Univ, Moscow 119991, Russia

来源：

VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS | 2023年 / 56卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

torsion-free abelian groups; endomorphism rings; matrix representations;

D O I：

10.1134/S1063454123030032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Non-isomorphic direct decompositions of torsion-free Abelian groups are reflected in their endomorphism ring decompositions which admit matrix representations. The set of possible direct decompositions of a special kind matrix rings into direct sums of one-sided indecomposable ideals is described. This leads to the combinatorial constructions of isomorphisms between non-commutative differently decomposable ring structures.

引用

页码：341 / 349

页数：9

共 22 条

[1] Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups
E. A. Blagoveshchenskaya
A. V. Mikhalev
Vestnik St. Petersburg University, Mathematics, 2023, 56 : 341 - 349
[2] Torsion-free abelian groups are Borel complete
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