Separable torsion-free Abelian \(E^*\)-groups
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Publication:1295640
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)
endomorphism ringsendomorphism semigroupsunique addition ringssemigroup isomorphismsrank \(1\) summandstorsion-free separable Abelian groups
Endomorphism rings; matrix rings (16S50) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)
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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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