Sh:814

• Eklof, P. C., Shelah, S., & Trlifaj, J. (2004). On the cogeneration of cotorsion pairs. J. Algebra, 277(2), 572–578. arXiv: math/0405117 DOI: 10.1016/j.jalgebra.2003.09.018 MR: 2067620
• Abstract:
  Let R be a Dedekind domain. Enochs’ solution of the Flat Cover Conjecture was extended as follows: (*) If \mathfrak C is a cotorsion pair generated by a class of cotorsion modules, then \mathfrak C is cogenerated by a set. We show that (*) is the best result provable in ZFC in case R has a countable spectrum: the Uniformization Principle UP^{+} implies that \mathfrak C is not cogenerated by a set whenever \mathfrak C is a cotorsion pair generated by a set which contains a non-cotorsion module.
• Version 2003-09-26_11 (9p) published version (7p)

@article{Sh:814,
 author = {Eklof, Paul C. and Shelah, Saharon and Trlifaj, Jan},
 title = {{On the cogeneration of cotorsion pairs}},
 journal = {J. Algebra},
 fjournal = {Journal of Algebra},
 volume = {277},
 number = {2},
 year = {2004},
 pages = {572--578},
 issn = {0021-8693},
 mrnumber = {2067620},
 mrclass = {16S90},
 doi = {10.1016/j.jalgebra.2003.09.018},
 note = {\href{https://arxiv.org/abs/math/0405117}{arXiv: math/0405117}},
 arxiv_number = {math/0405117}
}