Torsion-free weakly transitive E-Engel Abelian groups |
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Authors: | A R Chekhlov |
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Institution: | 1. Tomsk State University, Tomsk, Russia
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Abstract: | 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. |
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