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math.AC2011★ 3 cited
On completely decomposable and separable modules over Prüfer domains
L. Fuchs, J. E. Macías-Díaz
We generalize known results on summands of completely decomposable and separable torsion-free abelian groups to modules over h-local Prüfer domains. Over such domains summands of c…
math.AC2011★ 3 cited
A generalization of the Pontryagin-Hill theorems to projective modules over Prüfer domains
J. E. Macías-Díaz
Motivated by the Pontryagin-Hill criteria of freeness for abelian groups, we investigate conditions under which unions of ascending chains of projective modules are again projectiv…