Modules over Prüfer domains

Fakhruddin, Syed M.

doi:10.1090/S0002-9947-1971-0279084-6

Modules over Prüfer domains
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Trans. Amer. Math. Soc. 159 (1971), 469-487 Request permission

Abstract:

We prove that the category of torsion-free modules over a Prüfer domain is equivalent to a certain category of diagrams. As applications we derive (i) a strong version of Baer-Kulikov-Kaplansky theorem for modules over a valuation ring, (ii) the determination of a complete set of invariants for modules of almost countable rank over an almost-maximal valuation ring, (iii) a new nonhomological proof of the characterization of a maximal valuation ring due to Matlis.

References

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