Sh:752

• Eklof, P. C., & Shelah, S. (2002). Whitehead modules over large principal ideal domains. Forum Math., 14(3), 477–482. arXiv: math/0011230 DOI: 10.1515/form.2002.021 MR: 1899295
• 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 \geq\aleph_{2} have non-free Whitehead modules even though they are not complete discrete valuation rings.
• Version 2000-11-24_11 (5p) published version (6p)

@article{Sh:752,
 author = {Eklof, Paul C. and Shelah, Saharon},
 title = {{Whitehead modules over large principal ideal domains}},
 journal = {Forum Math.},
 fjournal = {Forum Mathematicum},
 volume = {14},
 number = {3},
 year = {2002},
 pages = {477--482},
 issn = {0933-7741},
 mrnumber = {1899295},
 mrclass = {13D07 (03E75 13C10 13F10 13L05)},
 doi = {10.1515/form.2002.021},
 note = {\href{https://arxiv.org/abs/math/0011230}{arXiv: math/0011230}},
 arxiv_number = {math/0011230}
}