Mittag-Leffler modules and Positive atomicity Page 1 Mittag-Leffler modules and Positive
atomicity Philipp Rothmaler March 25, 1994 ∗ ∗This is a restored version. Page and line breaks …

The main theorem characterizes Mittag-Leffler modules as 'positively atomic'modules (in
contrast to the characterization of pure-injective modules as 'positively saturated'modules) …

Drinfeld recently suggested to replace projective modules by the flat Mittag-Leffler ones in
the definition of an infinite dimensional vector bundle on a scheme X (Drinfeld, 2006 [8]) …

In this paper we prove that every Mittag-Leffler module is a pure submodule of a reduced
product of pure-projective modules. This leads us to look for characterizations of the rings …

We develop a structure theory for two classes of infinite dimensional modules over tame
hereditary algebras: the Baer modules, and the Mittag-Leffler ones. A right R-module M is …

Using the notion of a $\lambda $-system and other techniques developed by Eklof and
Shelah, results are proven about non-projective Whitehead modules. In particular, suppose …

A module is called locally pure-projective if every pure epimor-phism onto it is locally split.
We prove that every locally pure-projective module is a Mittag-Leffler module. We derive …

We make a systematic approach to (strict) Mittag-Leffler inverse system and to dual Mittag-
Leffler direct systems. This allows us to prove that a right R-module M is Mittag-Leffler with …

We show that over any ring, the double Ext-orthogonal class to all flat Mittag-Leffler modules
contains all countable direct limits of flat Mittag-Leffler modules. If the ring is countable, then …

We prove that for a wide class of motives the local and global non-commutative Tamagawa
number conjectures of Fukaya and Kato imply certain explicit restrictions on the Galois …