Prescribing endomorphism algebras of \(\aleph_n\)-free modules.

DOI10.4171/JEMS/475zbMath1312.16024OpenAlexW2030323198WikidataQ105978751 ScholiaQ105978751MaRDI QIDQ479507

Daniel Herden, Saharon Shelah, Rüdiger Göbel

Publication date: 5 December 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/475

zbMATH Keywords

endomorphism rings\(\aleph_k\)-free modulesalmost free Abelian groupsBlack Boxprediction principlesrealizations of algebras as endomorphism algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Projective and free modules and ideals in commutative rings (13C10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Applications of set theory (03E75) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Set-theoretic model theory (03C55)

Related Items (5)

An axiomatic construction of an almost full embedding of the category of graphs into the category of \(R\)-objects ⋮ Quite free complicated abelian groups, pcf and black boxes ⋮ \(\mathrm{ZF}+\mathrm{DC}+\mathrm{AX}_4\) ⋮ \(\aleph_k\)-free cogenerators ⋮ ℵ_k-free separable groups with prescribed endomorphism ring

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