An Extension of M. C. R. Butler’s Theorem on Endomorphism Rings

DOI10.1007/978-3-319-51718-6_13zbMath1436.16035OpenAlexW2621054952MaRDI QIDQ3298256

Daniel Herden, Saharon Shelah, Manfred Dugas

Publication date: 14 July 2020

Published in: Groups, Modules, and Model Theory - Surveys and Recent Developments (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51718-6_13

zbMATH Keywords

endomorphism ringsButler's theorem

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Associative rings of functions, subdirect products, sheaves of rings (16S60) Automorphisms and endomorphisms (16W20) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Cites Work

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• Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
• A theorem of M. C. R. Butler for Dedekind domains
• Approximations and endomorphism algebras of modules.
• An extension of Zassenhaus' theorem on endomorphism rings
• On a theorem of Jordan
• Orders as Endomorphism Rings of Modules of the Same Rank
• On Locally Free Torsion-Free Rings of Finite Rank
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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