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Whitehead modules over large principal ideal domains

Paul C. Eklof·Saharon Shelah
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Abstract

We consider the Whitehead problem for principal ideal domains of large size. It is proved, in ZFC, that some p.i.d.'s of size >= aleph_{2} have non-free Whitehead modules even though they are not complete discrete valuation rings.

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Paul C. Eklof, Saharon Shelah. 2000-11-27. Whitehead modules over large principal ideal domains. https://arxiv.org/abs/math/0011230

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