On Abelian groups close to \(E\)-solvable groups.

DOI10.1007/s10958-014-1755-9zbMath1307.20045OpenAlexW2464411323MaRDI QIDQ743606

Andrey R. Chekhlov

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-1755-9

zbMATH Keywords

torsion-free Abelian groupsnilpotent groupssolvable groupscotorsion Abelian groupsfully invariant subgroupsLie endomorphism ringscommutator invariant subgroupstorsion Abelian groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

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Cites Work

• Abelian groups with normal endomorphism rings.
• Commutator invariant subgroups of Abelian groups.
• On L. Fuchs' problems 17 and 43.
• Properties of endomorphism rings of Abelian groups. II.
• On mixed \(cs\)-groups.
• On projective invariant subgroups of Abelian groups.
• On weakly quasipure injective groups.
• Quasipure injective torsion-free groups with indecomposable pure subgroups
• On a class of endotransitive groups
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