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When Summands of Completely Decomposable Modules Are Completely Decomposable

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Publication:5756458
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DOI10.1080/00927870701247088zbMath1123.13008OpenAlexW2156141890MaRDI QIDQ5756458

Pat Goeters

Publication date: 4 September 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701247088


zbMATH Keywords

domainfinite rankcompletely decomposableDedekindabelian\(h\)-local


Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Torsion-free groups, finite rank (20K15)


Related Items (2)

TORSION-FREE ABELIAN GROUPS WITH FINITE RANK ENDOMORPHISM RINGS ⋮ On completely decomposable and separable modules over Prüfer domains



Cites Work

  • Rings with two-generated ideals
  • Finite rank torsion free Abelian groups and rings
  • The Krull-Schmidt property for ideals and modules over integral domains.
  • 1-dimensional Cohen-Macaulay rings
  • Krull-Schmidt theorems in dimension 1
  • Cotorsion modules
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