ℵk-free separable groups with prescribed endomorphism ring

DOI10.4064/FM231-1-3zbMath1350.20038OpenAlexW2336529541MaRDI QIDQ5259637

Rüdiger Göbel, Héctor Gabriel Salazar Pedroza, Daniel Herden

Publication date: 26 June 2015

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm231-1-3

zbMATH Keywords

endomorphism ringsalmost free Abelian groupsprediction principles\(\aleph_k\)-free separable Abelian groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) 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) Ordinal and cardinal numbers (03E10)

Related Items (1)

\(\aleph_k\)-free cogenerators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prescribing endomorphism algebras of \(\aleph_n\)-free modules.
• Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
• \(\aleph_n\)-free modules with trivial duals
• Free and residually artinian regular rings
• Separable $\aleph_k$-free modules with almost trivial dual
• New Criteria for Freeness in Abelian Groups. II
• The Kaplansky test problems for ℵ₁-separable groups
• Every Cotorsion-Free Ring is an Endomorphism Ring
• ℵ_n-FREE MODULES OVER COMPLETE DISCRETE VALUATION DOMAINS WITH ALMOST TRIVIAL DUAL
• χ_n-FREE ABELIAN GROUPS
• Prescribing Endomorphism Algebras, a Unified Treatment
• Row and column finite matrices
• On λ strong homogeneity existence for cofinality logic

This page was built for publication: ℵ_k-free separable groups with prescribed endomorphism ring