Abelian groups with monomorphisms invariant with respect to epimorphisms

DOI10.3103/S1066369X1812006XzbMath1441.20036OpenAlexW2905093922WikidataQ128783408 ScholiaQ128783408MaRDI QIDQ1735157

Andrey R. Chekhlov

Publication date: 28 March 2019

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x1812006x

zbMATH Keywords

surjective endomorphisminjective endomorphismabelian endomorphism ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Torsion-free groups, finite rank (20K15)

Cites Work

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• On Abelian groups with commuting monomorphisms.
• On abelian groups with right-invariant isometries.
• Abelian groups with normal endomorphism rings.
• Periodic groups acting freely on abelian groups.
• On fully quasitransitive abelian groups
• On projectively Krylov transitive and projectively weakly transitive abelian \(p\)-groups
• On abelian groups with commutative commutators of endomorphisms
• MODULES WITH ABELIAN ENDOMORPHISM RINGS

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