Abelian groups with nilpotent commutators of endomorphisms. (Q1946271)
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scientific article; zbMATH DE number 6155573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Abelian groups with nilpotent commutators of endomorphisms. |
scientific article; zbMATH DE number 6155573 |
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Abelian groups with nilpotent commutators of endomorphisms. (English)
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19 April 2013
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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.
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torsion-free Abelian groups
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endomorphism rings
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commutatorily invariant subgroups
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\(E\)-nilpotent groups
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\(E\)-solvable groups
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\(E\)-Engelian groups
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power \(E\)-commutants
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0.9159692
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0.91373193
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0.9032884
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0.9011245
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