On Abelian groups with commuting monomorphisms.

DOI10.1134/S0037446613050182zbMath1293.20053OpenAlexW1977868790MaRDI QIDQ392745

Andrey R. Chekhlov

Publication date: 15 January 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446613050182

zbMATH Keywords

Abelian groupsco-Hopfian groupscentral idempotent endomorphismscommuting monomorphismsleft invariant monomorphismsnormal endomorphism rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (5)

ABELIAN GROUPS WITH A REGULAR CENTER OF THE ENDOMORPHISM RING ⋮ On abelian groups with right-invariant isometries. ⋮ Abelian groups with monomorphisms invariant with respect to epimorphisms ⋮ On abelian groups with commutative commutators of endomorphisms ⋮ A generalization of co-Hopfian abelian groups

Cites Work

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• MODULES WITH ABELIAN ENDOMORPHISM RINGS
• A-Solvability and Mixed Abelian Groups
• Dualities for self–small groups
• Endomorphism rings of Abelian groups

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