Completely decomposable quotient divisible abelian groups with isomorphic endomorphism semigroups

DOI10.1134/S0001434620070226zbMath1453.20073OpenAlexW3047488893MaRDI QIDQ2197252

Oleg V. Lyubimtsev

Publication date: 31 August 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434620070226

zbMATH Keywords

endomorphism semigroupquotient divisible abelian group

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Mixed groups (20K21)

Cites Work

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• On the determinability of mixed abelian groups by their endomorphism semigroups
• On quotient divisible group theory. I.
• Torsion-free rings
• Characterization of completely decomposable quotient divisible abelian groups by their endomorphism semigroups
• Homomorphisms of rank-1 quotient divisible groups
• On the quotient divisible group theory. II
• Mixed abelian groups with isomorphic endomorphism semigroups.
• Rank-1 quotient divisible groups.
• Quotient divisible abelian groups
• Unique Addition Rings

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