О КОЛЬЦАХ КВАЗИЭНДОМОРФИЗМОВ НЕКОТОРЫХ СИЛЬНО НЕРАЗЛОЖИМЫХ АБЕЛЕВЫХ ГРУПП БЕЗ КРУЧЕНИЯ РАНГА 4

DOI10.22405/2226-8383-2017-18-2-245-255zbMath1434.20036OpenAlexW2811272180MaRDI QIDQ5108744

A. V. Cherednikova

Publication date: 6 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb555

zbMATH Keywords

abelian groupquasi-endomorphism ringtorsion-free group of finite rankstrongly indecomposable group

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.
• Torsion free groups of rank two

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