A generalization of the Pontryagin-Hill theorems to projective modules over Prüfer domains

DOI10.2140/PJM.2010.246.391zbMath1205.13014arXiv1112.0598OpenAlexW2089375325MaRDI QIDQ975811

Jorge Eduardo Macías-Díaz

Publication date: 11 June 2010

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0598

zbMATH Keywords

projective modulePrüfer domainpure submodulePontryagin-Hill theorems

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Projective and free modules and ideals in commutative rings (13C10) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

On the union of increasing chains of torsion-free modules over integral domains ⋮ CHAINS OF PROJECTIVE MODULES ⋮ Generalized Hill lemma, Kaplansky theorem for cotorsion pairs and some applications.

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