On some generalizations of Hopfian and co-Hopfian Abelian groups.

DOI10.1007/s10474-012-0290-8zbMath1287.20060OpenAlexW2073605008MaRDI QIDQ2448950

Ketao Gong, Brendan Goldsmith

Publication date: 5 May 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-012-0290-8

zbMATH Keywords

Abelian groupsco-Hopfian groupshereditarily Hopfian groupssuper Hopfian groupsHopfian groupshereditarily co-Hopfian groupssuper co-Hopfian groups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Torsion-free groups, finite rank (20K15) Mixed groups (20K21)

Related Items (1)

CO-HOPFIAN ABELIAN GROUPS

Cites Work

• On super and hereditarily Hopfian and co-Hopfian Abelian groups.
• An infinite primary abelian group without proper isomorphic subgroups
• A Note on Torsion Free Abelian Groups of Infinite Rank
• The independence of the notions of Hopfian and co-Hopfian Abelian p-groups
• On Adjoint Entropy of Abelian Groups
• Groups without proper isomorphic quotient groups
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