Isomorphism conditions for completely decomposable torsion-free Abelian groups with isomorphic rings of endomorphisms

DOI10.1007/BF01367498zbMath0245.20047OpenAlexW2051128634MaRDI QIDQ2555161

A. M. Sebel'din

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1007/bf01367498

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Related Items (7)

On the definability of completely decomposable torsion-free abelian groups by endomorphism rings and some groups of homomorphisms ⋮ INVOLUTIONS OF THE GENERAL LINEAR GROUP GL2 OVER A SUBRING OF THE FIELD Q. ⋮ On the question of definability of homogeneously decomposable torsion-free abelian groups by their homomorphism groups and endomorphism rings ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Abelian groups in Russia. ⋮ On a class of quotient divisible abelian groups with isomorphic endomorphism semigroups ⋮ Definability of completely decomposable torsion-free abelian groups by endomorphism semigroups and homomorphism groups

Cites Work

• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
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