R-Hopfian and L-co-Hopfian Abelian Groups (with an Appendix by A.L.S. Corner on Near Automorphisms of an Abelian Group)

DOI10.1007/978-3-319-51718-6_18zbMath1436.20107OpenAlexW2620789022MaRDI QIDQ3298261

Brendan Goldsmith, Ketao Gong

Publication date: 14 July 2020

Published in: Groups, Modules, and Model Theory - Surveys and Recent Developments (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51718-6_18

zbMATH Keywords

Hopfian and co-Hopfian groupsker-direct and im-direct groupsRickart and dual Rickart modules

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items (2)

On hereditarily and super R-Hopfian and L-co-Hopfian abelian groups ⋮ A generalization of co-Hopfian abelian groups

Cites Work

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• The Hopfian exponent of an abelian group.
• On commutator socle-regular Abelian \(p\)-groups.
• Abelian groups with endomorphic images of special types
• On Hopfian groups
• Isomorphic direct summands of Abelian groups
• Dual Rickart Modules
• Rickart Modules
• Three examples on hopficity in torsion-free abelian groups

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