On the determinability of mixed abelian groups by their endomorphism semigroups

DOI10.1134/S0001434618030045zbMath1435.20062OpenAlexW2803046607MaRDI QIDQ722146

Oleg V. Lyubimtsev, V. K. Vil'danov, D. S. Chistyakov

Publication date: 23 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0001434618030045

zbMATH Keywords

abelian groupendomorphism semigroup

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Semigroups of transformations, relations, partitions, etc. (20M20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Mixed groups (20K21)

Related Items (1)

Completely decomposable quotient divisible abelian groups with isomorphic endomorphism semigroups

Cites Work

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• Torsion-free rings
• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• Mixed abelian groups with isomorphic endomorphism semigroups.
• Quotient divisible abelian groups
• Abelian groups with isomorphic endomorphic semigroups
• Endomorphism rings of Abelian groups

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