On super and hereditarily Hopfian and co-Hopfian Abelian groups.

DOI10.1007/s00013-012-0402-2zbMath1252.20049OpenAlexW2095155137MaRDI QIDQ444110

Ketao Gong, Brendan Goldsmith

Publication date: 13 August 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arrow.dit.ie/cgi/viewcontent.cgi?article=1294&context=scschmatart

zbMATH Keywords

Abelian groupsalgebraic entropyadjoint entropyhereditarily Hopfian groupshereditarily super co-Hopfian groupssuper Hopfian groups

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) 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 (4)

CO-HOPFIAN ABELIAN GROUPS ⋮ On hereditarily and super R-Hopfian and L-co-Hopfian abelian groups ⋮ On the generalized Bassian property for abelian groups ⋮ On some generalizations of Hopfian and co-Hopfian Abelian groups.

Cites Work

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• Misbehaved direct products
• Centers of purity in Abelian groups
• Algebraic entropy for Abelian groups
• An infinite primary abelian group without proper isomorphic subgroups
• A Note on Torsion Free Abelian Groups of Infinite Rank
• On Adjoint Entropy of Abelian Groups
• Some Theorems on Hopficity
• Groups without proper isomorphic quotient groups

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