Modules over arbitrary domains

DOI10.1007/BF01159179zbMath0535.16022OpenAlexW1991533160WikidataQ105978842 ScholiaQ105978842MaRDI QIDQ790915

Rüdiger Göbel, Saharon Shelah

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173542

zbMATH Keywords

decomposition theoremsendomorphism algebralarge indecomposable modulesreduced torsion-free algebrareduced torsion-free moduleS-adic completion

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (4)

Vector spaces with five distinguished subspaces ⋮ Prescribing endomorphism algebras. The cotorsion-free case ⋮ Kaplansky test problem for \(R\)-modules ⋮ A combinatorial principle and endomorphism rings. I: On \(p\)-groups

Cites Work

• Every cotorsion-free algebra is an endomorphism algebra
• On stout and slender groups
• 1-dimensional Cohen-Macaulay rings
• REPRESENTATION OF ALGEBRAS OVER A COMPLETE DISCRETE VALUATION RING
• Prescribing Endomorphism Algebras, a Unified Treatment
• Cotorsion modules
• Additive categories and a theorem of W. G. Leavitt
• Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring
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