Rings of quasi-endomorphisms of some direct sums of torsion-free abelian groups

DOI10.3103/S1066369X17010078zbMath1384.20043OpenAlexW2590062379MaRDI QIDQ682233

A. V. Cherednikova

Publication date: 14 February 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17010078

zbMATH Keywords

abelian grouptorsion-free groupquasi-decomposable groupring of quasi-endomorphisms

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.
• Abelian groups with one \(\tau\)-adic relation
• 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
• Abelian groups without elements of finite order
• On direct decompositions of torsionfree Abelian groups
• On Direct Decomposition of Torsion Free Abelian Groups.
• Torsion free groups of rank two

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