Abelian groups with nilpotent commutators of endomorphisms.
type: Item
instance of: scholarly article
title: Abelian groups with nilpotent commutators of endomorphisms.
zbMATH Open document ID: 1271.20067
DOI: 10.3103/S1066369X12100052
published in: Russian Mathematics
publication date: 2013-04-19T00:00:00Z
review text: The author studies several classes of Abelian groups characterized by restrictions on their endomorphism rings, for example nilpotent commutators or central idempotents. He characterizes separable, vector and algebraically compact torsion-free groups subject to these restrictions.
Mathematics Subject Classification ID: 20K30
Mathematics Subject Classification ID: 20K20
zbMATH DE Number: 6155573
zbMATH Keywords: torsion-free Abelian groups
zbMATH Keywords: endomorphism rings
zbMATH Keywords: commutatorily invariant subgroups
zbMATH Keywords: \(E\)-nilpotent groups
zbMATH Keywords: \(E\)-solvable groups
zbMATH Keywords: \(E\)-Engelian groups
zbMATH Keywords: power \(E\)-commutants
author: Andrey R. Chekhlov
reviewed by: Phillip Schultz
MaRDI profile type: Publication
cites work: Commutator invariant subgroups of Abelian groups.
cites work: Abelian groups with normal endomorphism rings.
cites work: Endomorphism rings of Abelian groups
cites work: Q5673086
cites work: Q5609457
cites work: Rings without infinite sets of noncentral orthogonal idempotents.
cites work: On the projective commutant of Abelian groups.
full work available at URL: s1066369x12100052
OpenAlex ID: W2021530339
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description: scientific article; zbMATH DE number 6155573