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 …

Module theory provides a general framework for the study of linear representations of
various mathematical objects. For example, given a field K, representations of a quiver Q …

We describe in homological terms the direct limit closure of a class C of modules over a ring
R. We also determine the closure of the cotorsion pair=(A, B) cogenerated by C. As an …

The main objective of this paper is to study the relative derived categories from various
points of view. Let A be an abelian category and C be a contravariantly finite subcategory of …

We study the existence of covers and envelopes by some special functors on the category of
finitely presented modules. As an application, we characterize some important rings using …

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

A model structure on a category is a formal way of introducing a homotopy theory on that
category, and if the model structure is abelian and hereditary, its homotopy category is …

Let R be a ring and let simp-R be a representative set of all simple (right R-) modules.
Denote by P< ω the class of all modules which are finitely generated and have finite …

Over an arbitrary ring, we consider cotilting modules endowed with some finiteness
conditions. We show that they correspond to pairs of dualities between certain cat-egories …

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