Quasiendomorphism algebras of some quasidecomposable rank 4 torsion-free abelian groups

DOI10.1134/S0037446616060161zbMath1393.20025OpenAlexW2561714590MaRDI QIDQ515500

A. V. Cherednikova

Publication date: 16 March 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616060161

zbMATH Keywords

abelian grouptorsion-free groupquasidecomposable groupquasiendomorphism algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Cites Work

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• Quasi-endomorphism rings of almost completely decomposable torsion-free Abelian groups of rank 4 with zero Jacobson radical.
• Quasi-endomorphism rings of strongly indecomposable torsion-free Abelian groups of rank 4 with pseudosocles of rank 1.
• Finite rank torsion free Abelian groups and rings
• Rings of quasi-endomorphisms of strongly indecomposable torsion-free Abelian groups
• Rings of quasi-endomorphisms of strongly indecomposable torsion-free Abelian groups of rank 4 with pseudosocles of rank 3.
• Quasi-endomorphism rings of almost completely decomposable torsion-free Abelian groups of rank 4 that do not coincide with their pseudo-socles.
• Homomorphisms and duality for torsion-free groups
• Torsion free groups of rank two

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