Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

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 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 …

In the study of indecomposable decompositions of a module, there are several properties
which play a significant role. A condition that is very useful in practice for checking whether a …

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 …

The goal of this work is to develop a functional transfer of properties between a module A
and the category* M* E of right modules over its endomorphism ring* E that is more sensitive …

Let $ R $ and $ S $ be rings and $ _S\omega_R $ a semidualizing bimodule. For a subclass
$\mathcal {T} $ of the class of $\omega $-coreflexive modules and $ n\geq 1$, we introduce …

We study versions of strict Mittag-Leffler modules relativized to a class K (of modules), that is,
strict versions (in the technical sense of Raynaud and Gruson) of K-Mittag-Leffler modules …