On the projective commutant of Abelian groups.

DOI10.1134/S0037446612020188zbMath1281.20064OpenAlexW1977650894MaRDI QIDQ1760511

Andrey R. Chekhlov

Publication date: 14 November 2012

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

Full work available at URL: https://doi.org/10.1134/s0037446612020188

zbMATH Keywords

fully invariant submodulesfully invariant subgroupsnormal endomorphism ringscommutators of endomorphismsprojectively nongenerating elementsprojectively semiprime submodulesreduced separable torsion-free Abelian groups

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items (9)

On Abelian groups with commuting monomorphisms. ⋮ On projectively soluble Abelian groups. ⋮ Abelian groups with nilpotent commutators of endomorphisms. ⋮ Torsion-free weakly transitive \(E\)-Engel abelian groups. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On abelian groups with commutative commutators of endomorphisms ⋮ On projectively fully transitive abelian groups

Cites Work

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• Abelian groups with normal endomorphism rings.
• Commutator invariant subgroups of Abelian groups.
• On projective invariant subgroups of Abelian groups.
• Endomorphism rings of Abelian groups

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