The central aim of this book is to understand modules and the categories they form through
associated structures and dimensions, which reflect the complexity of these, and similar …

To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …

We study the behaviour of modules M that fit into a short exact sequence 0→ M→ C→ M→ 0,
where C belongs to a class of modules CC, the so-called C C-periodic modules. We find a …

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]) …

We study Mittag-Leffler conditions on modules providing relative versions of classical results
by Raynaud and Gruson. We then apply our investigations to several contexts. First of all, we …

We show that a direct limit of projective contramodules (over a right linear topological ring) is
projective if it has a projective cover. A similar result is obtained for-strictly flat contramodules …

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 …

If ${\cal D} $ is a definable category then it may contain no nonzero finitely presented
modules but, by a result of Makkai, there is a $\varinjlim $-generating set of strictly ${\cal D} …

The subject of this article are the modules M over a ring R such that every element of M is
contained in a pure-injective direct summand of M. For obvious reasons we call these …

Covers and Envelopes via Endoproperties of Modules Page 1 COVERS AND ENVELOPES VIA
ENDOPROPERTIES OF MODULES LIDIA ANGELERI-HUÈ GEL Precovers and preenvelopes …