Sh:814

• Eklof, P. C., Shelah, S., & Trlifaj, J. (2004). On the cogeneration of cotorsion pairs. J. Algebra, 277(2), 572–578.
• 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.
• Current version: 2003-09-26_10 (9p) published version (7p)
Bib entry
@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}
}