Geodesic
Torsion-Free Weakly Transitive $E$-Engel Abelian Groups
Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 620-627.

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It is proved that if all the endomorphisms of a reduced torsion-free weakly transitive Abelian group are bounded right-nilpotent, then its ring of endomorphisms is commutative. The ring of endomorphisms of a torsion-free Abelian group with periodic group of automorphisms and Engel ring of endomorphisms is also commutative.
Keywords: $E$-Engel Abelian group, weakly transitive group, ring of endomorphisms, periodic group of automorphisms, $n$-step Engel ring, Lie algebra, $E$-nilpotent group, nilpotent element of a ring.
Mots-clés : torsion-free Abelian group 
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A. R. Chekhlov. Torsion-Free Weakly Transitive $E$-Engel Abelian Groups. Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 620-627. http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a11/

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