Torsion-free weakly transitive \(E\)-Engel abelian groups.

DOI10.1134/S0001434613090289zbMath1330.20080OpenAlexW2084839739MaRDI QIDQ2436392

Andrey R. Chekhlov

Publication date: 24 February 2014

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

Full work available at URL: https://doi.org/10.1134/s0001434613090289

zbMATH Keywords

commutativity theoremstorsion-free Abelian groupsnilpotent endomorphismsweakly transitive groups\(n\)-step Engel ringscommutative endomorphism ringsE-Engel Abelian groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Torsion-free groups, infinite rank (20K20) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

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FULLY TRANSITIVE, TRANSITIVE ABELIAN GROUPS AND SOME THEIR GENERALIZATIONS ⋮ On Abelian Groups Having All Proper Fully Invariant Subgroups Isomorphic ⋮ On abelian groups with commutative commutators of endomorphisms ⋮ On projectively fully transitive abelian groups ⋮ On weakly transitive torsion-free abelian groups

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