On abelian groups with right-invariant isometries.

DOI10.1134/S0037446614030185zbMath1303.20057OpenAlexW2003328660MaRDI QIDQ404730

Andrey R. Chekhlov

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1134/s0037446614030185

zbMATH Keywords

abelian groupsautomorphismscompletely decomposable groupspure subgroupsUlm-Kaplansky invariants\(p\)-heightsalgebraically compact groupsheight preserving monomorphismsright invariance of isometriestorsion complete groups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15)

Related Items (2)

Abelian groups with monomorphisms invariant with respect to epimorphisms ⋮ A generalization of co-Hopfian abelian groups

Cites Work

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• Automorphisms of submodules and their extensions
• Fully Invariant Subgroups of Abelianp-Groups with Finite Ulm–Kaplansky Invariants
• MODULES WITH ABELIAN ENDOMORPHISM RINGS
• Quasi-minimal abelian groups

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