Commutator invariant subgroups of Abelian groups.

DOI10.1007/S11202-010-0092-6zbMath1210.20053OpenAlexW2058547149MaRDI QIDQ610307

Andrey R. Chekhlov

Publication date: 8 December 2010

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

Full work available at URL: https://doi.org/10.1007/s11202-010-0092-6

zbMATH Keywords

endomorphism ringsfully invariant subgroups\(E\)-center\(E\)-commutantcommutators of endomorphisms

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Subgroups of abelian groups (20K27)

Related Items (11)

On projectively soluble Abelian groups. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Abelian groups with nilpotent commutators of endomorphisms. ⋮ On some classes of nilgroups. ⋮ Unnamed Item ⋮ On abelian groups with commutative commutators of endomorphisms ⋮ \(E\)-solvable modules. ⋮ On the projective commutant of Abelian groups. ⋮ Abelian groups with annihilator ideals of endomorphism rings ⋮ On Abelian groups close to \(E\)-solvable groups.

Cites Work

• Abelian groups with normal endomorphism rings.
• On L. Fuchs' problems 17 and 43.
• Endomorphism rings of Abelian groups.
• On projective invariant subgroups of Abelian groups.
• On weakly quasipure injective groups.
• On a class of endotransitive groups
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