Realization of rings by endomorphism rings

DOI10.1007/BF01980219zbMath0725.16021OpenAlexW2030073837MaRDI QIDQ2277557

S. V. Rychkov

Publication date: 1990

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01980219

zbMATH Keywords

abelian groupsregular cardinalendomorphism ringring homomorphismsdirect summandadditive group\(V=L\)splitting extensionk- small homomorphismk-small endomorphismstorsion free reduced group

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Extensions of associative rings by ideals (16S70)

Related Items (4)

Abelian groups in Russia. ⋮ Characterization of relatively distributed quasivarieties of algebras ⋮ Abelian groups ⋮ Verbal products of groups

Cites Work

• In singular cardinality, locally free algebras are free
• The Structure of ω 1 -Separable Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Realization of rings by endomorphism rings