References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

It is possible to associate a topological space to the category of modules over any ring. This
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …

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 …

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 …

Let C be a class of modules and L= lim→ C the class of all direct limits of modules from C.
The class L is well understood when C consists of finitely presented modules: L then enjoys …

The study of pure-projectivity is accessed from an alternative point of view. Given modules M
and N, M is said to be N-pure-subprojective if for every pure epimorphism g: B → N g: B→ N …

Fisher [10] and Baur [6] showed independently in the seventies that if T is a complete first-
order theory extending the theory of modules, then the class of models of T with pure …

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

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 …

Precovers and preenvelopes were introduced in the early eighties by Enochs [48] and,
independently, by Auslander and Smalø [16]. Enochs gave a general definition in terms of …