Prescribing endomorphism algebras. The cotorsion-free case

zbMath0673.16021MaRDI QIDQ1120647

Rüdiger Göbel, Berthold Franzen

Publication date: 1988

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1988__80__215_0

zbMATH Keywords

endomorphism algebrasdirect sumtopologically isomorphicBlack Boxcotorsion-free R-modulepure subalgebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Model-theoretic algebra (03C60) Structure, classification theorems for modules and ideals in commutative rings (13C05) Other combinatorial set theory (03E05) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (11)

The construction of mixed modules from torsion-free modules ⋮ Automorphism groups of fields ⋮ Cotilting and a hierarchy of almost cotorsion groups ⋮ Properties of Abelian Groups Determined by Their Endomorphism Ring ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Large indecomposable roots of Ext ⋮ On the lattice of cotorsion theories ⋮ Modules over discrete valuation domains. II ⋮ All Infinite Groups are Galois Groups Over any Field ⋮ Cotorsion theories and splitters

Cites Work

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• On stout and slender groups
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• A combinatorial principle and endomorphism rings. I: On \(p\)-groups
• Torsion-Free Abelian Groups with Prescribed Finitely Topologized Endomorphism Rings
• Modules over arbitrary domains II
• Every Cotorsion-Free Ring is an Endomorphism Ring
• Prescribing Endomorphism Algebras, a Unified Treatment
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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