Abelian groups with nilpotent commutators of endomorphisms.

DOI10.3103/S1066369X12100052zbMath1271.20067OpenAlexW2021530339MaRDI QIDQ1946271

Andrey R. Chekhlov

Publication date: 19 April 2013

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

Full work available at URL: https://doi.org/10.3103/s1066369x12100052

zbMATH Keywords

endomorphism ringstorsion-free Abelian groups\(E\)-Engelian groups\(E\)-nilpotent groups\(E\)-solvable groupscommutatorily invariant subgroupspower \(E\)-commutants

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (8)

On Abelian groups with commuting monomorphisms. ⋮ On abelian groups with right-invariant isometries. ⋮ The structure of an abelian group whose endomorphism ring is a solvable Lie ring ⋮ Torsion-free weakly transitive \(E\)-Engel abelian groups. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On abelian groups with commutative commutators of endomorphisms

Cites Work

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• Abelian groups with normal endomorphism rings.
• Commutator invariant subgroups of Abelian groups.
• Rings without infinite sets of noncentral orthogonal idempotents.
• On the projective commutant of Abelian groups.
• Endomorphism rings of Abelian groups

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