On some classes of Hopfian abelian groups and modules

DOI10.1007/S10958-018-3745-9zbMath1386.20034OpenAlexW2791303000MaRDI QIDQ1746329

Piotr A. Krylov, E. V. Kaygorodov

Publication date: 25 April 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3745-9

zbMATH Keywords

Hopfian modulesdecomposable torsion-free groupsHopfian abelian groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) General module theory in associative algebras (16D10) Torsion-free groups, finite rank (20K15)

Related Items (1)

Automorphism groups of formal matrix rings

Cites Work

• Modules over formal matrix rings.
• Finite rank torsion free Abelian groups and rings
• Properties of endomorphism rings of Abelian groups. II.
• Surjective endomorphisms of finitely generated modules
• Hopficity and co-hopficity for morita contexts
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