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Separable torsion-free Abelian \(E^*\)-groups

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Publication:1295640
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DOI10.1016/S0022-4049(97)00195-3zbMath0927.20038MaRDI QIDQ1295640

C. I. Vinsonhaler, A. M. Sebel'din, Oleg V. Lyubimtsev

Publication date: 3 October 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)


zbMATH Keywords

endomorphism ringsendomorphism semigroupsunique addition ringssemigroup isomorphismsrank \(1\) summandstorsion-free separable Abelian groups


Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)


Related Items (1)

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




Cites Work

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  • Every cotorsion-free algebra is an endomorphism algebra
  • Rings with Unique Addition
  • Unique Addition Rings
  • Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
  • Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
  • One-to-one mappings of rings and lattices




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