Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups.

Autor: Blagoveshchenskaya, E. A., Mikhalev, A. V.
Zdroj: Vestnik St. Petersburg University: Mathematics; Sep2023, Vol. 56 Issue 3, p341-349, 9p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index