Abelian groups as endomorphic modules over their endomorphism ring.

DOI10.1007/S10958-008-9075-6zbMath1151.20043OpenAlexW2081232763MaRDI QIDQ950922

D. S. Chistyakov, Oleg V. Lyubimtsev

Publication date: 28 October 2008

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

Full work available at URL: https://doi.org/10.1007/s10958-008-9075-6

zbMATH Keywords

near-ringsrings of endomorphismsendomorphic Abelian groupsalmost completely decomposable torsion-free groupsendomorphic modulesseparable torsion-free groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Near-rings (16Y30) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (4)

On abelian groups with right-invariant isometries. ⋮ Unnamed Item ⋮ Torsion-free Abelian groups of finite rank as endomorphic modules over their endomorphism ring. ⋮ Endomorphism of abelian groups as modules over their endomorphism rings

Cites Work

• Endomorphism rings of Abelian groups
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