2013/01/06 by Philipp Rothmaler, Rothmaler, Philipp
Mathematics · #16B70 #16D40 #16D80 #16S90 #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.LO #math.RA #msc:16B70 #msc:16D40 #msc:16D80 #msc:16S90
paper · pdf · doi:10.48550/arxiv.1301.0961
arxiv created 2013/01/06 · openalex publication_date 2013/01/06 · arxiv updated 2013/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, aleph1-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.