Completely decomposable quotient divisible abelian groups with UA-rings of endomorphisms.

DOI10.1134/S0001434615070111zbMath1335.20055OpenAlexW2148215465MaRDI QIDQ887480

Oleg V. Lyubimtsev

Publication date: 26 October 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434615070111

zbMATH Keywords

endomorphism ringsEnd-UA-groupsUA-ringsunique addition ringscompletely decomposable Abelian groupsquotient divisible 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)

Related Items

Characterization of completely decomposable quotient divisible abelian groups by their endomorphism semigroups, Isomorphisms of endomorphism semigroups of mixed abelian groups, Unnamed Item

Cites Work

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• On quotient divisible group theory. I.
• Torsion-free rings
• Separable torsion-free Abelian \(E^*\)-groups
• Periodic Abelian groups with UA-rings of endomorphisms
• Rank-1 quotient divisible groups.
• Quotient divisible abelian groups
• Unique Addition Rings