A generalization of quotient divisible groups to the infinite rank case

DOI10.1134/S0037446621030186zbMath1475.20090OpenAlexW3172953382MaRDI QIDQ2030782

A. V. Tsarev

Publication date: 7 June 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621030186

zbMATH Keywords

rankabelian groupmixed groupquotient divisible group

Mathematics Subject Classification ID

Mixed groups (20K21)

Related Items

\( E \)-rings and quotient divisible abelian groups

Cites Work

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• Homogeneous maps of Abelian groups.
• On quotient divisible group theory. I.
• Torsion-free rings
• Endomorphism rings of Abelian groups.
• Characterization of completely decomposable quotient divisible abelian groups by their endomorphism semigroups
• Compact groups that are duals of quotient divisible abelian groups
• On the quotient divisible group theory. II
• Cancellation properties for quotient divisible groups.
• Rank-1 quotient divisible groups.
• A duality for quotient divisible Abelia n groups of finite rank
• A Note on Torsion Free Abelian Groups of Infinite Rank
• Quotient divisible abelian groups
• Modules over the ring of pseudorational numbers and quotient divisible groups