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On the union of increasing chains of torsion-free modules over integral domains

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Publication:1936923
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DOI10.1007/s00025-011-0190-1zbMath1263.13007OpenAlexW2092803162MaRDI QIDQ1936923

Jorge Eduardo Macías-Díaz

Publication date: 8 February 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0190-1

zbMATH Keywords

pure submodulesintegral domainsdirect sums of modulesascending chains of modulesgeneralized Hill's theorem


Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Projective and free modules and ideals in commutative rings (13C10) Integral domains (13G05) Module categories and commutative rings (13C60)




Cites Work

  • Unnamed Item
  • On completely decomposable and separable modules over Prüfer domains
  • \(\aleph_n\)-free modules with trivial duals
  • Projective modules
  • Minimal resolutions of some monomial submodules
  • A generalization of the Pontryagin-Hill theorems to projective modules over Prüfer domains
  • Cellular covers of Abelian groups.
  • A criterion for complete decomposability and Butler modules over valuation domains
  • Set Theory
  • On the freeness of abelian groups: A generalization of Pontryagin's theorem
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