Torsion-free, divisible, and Mittag-Leffler modules
Rings and Algebras
2013-01-08 v1 Logic
Abstract
We study (relative) K-Mittag-Leffler modules, with emphasis on the class K of absolutely pure modules. A final goal is to describe the K-Mittag-Leffler abelian groups as those that are, modulo their torsion part, aleph_1-free, Cor.6.12. Several more general results of independent interest are derived on the way. In particular, every flat K-Mittag-Leffler module (for K as before) is Mittag-Leffler, Thm.3.9. A question about the definable subcategories generated by the divisible modules and the torsion-free modules, resp., has been left open, Quest.4.6.
Cite
@article{arxiv.1301.0961,
title = {Torsion-free, divisible, and Mittag-Leffler modules},
author = {Philipp Rothmaler},
journal= {arXiv preprint arXiv:1301.0961},
year = {2013}
}