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Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups
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Journal Article
Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups
2023
Overview
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.
Publisher
Pleiades Publishing,Springer Nature B.V
