Endomorphism rings of abelian groups as isomorphic restrictions of full endomorphism rings

DOI10.1007/BF02330871zbMath0792.20054OpenAlexW2618192011MaRDI QIDQ1203437

Nguyen Thang Dao

Publication date: 8 February 1993

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

Full work available at URL: https://doi.org/10.1007/bf02330871

zbMATH Keywords

associative ringendomorphism ringadditive groupcountable, reduced, torsion-free grouppure, fully invariant subgroup

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (1)

Endomorphism rings of Abelian groups as isomorphic restrictions of full endomorphism rings. II

Cites Work

• Three examples on hopficity in torsion-free abelian groups
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
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