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 …

We introduce the new concept of silting modules. These modules generalize tilting modules
over an arbitrary ring, as well as support-tilting modules over a finite dimensional algebra …

For an artin algebra Λ, cotorsion pairs are studied for the category Mod Λ of finitely
presented Λ‐modules and for the category Mod Λ of all Λ‐modules. It is shown that every …

We apply tilting theory to study modules of finite projective dimension. We introduce the
notion of finite and cofinite type for tilting and cotilting classes of modules, respectively …

Let $ T_R $ be a right $ n $-tilting module over an arbitrary associative ring $ R $. In this
paper we prove that there exists an $ n $-tilting module $ T'_R $ equivalent to $ T_R $ which …

However, some aspects of the classical theory can be extended to infinitely generated
modules over arbitrary rings. In this paper, we will consider such an aspect: the relation of …

There are well-known constructions relating ring epimorphisms and tilting modules. The new
notion of silting module provides a wider framework for studying this interplay. To every …

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 …

We apply the theory of cotorsion pairs to study closure properties of classes of modules with
finite projective dimension with respect to direct limit operations and to filtrations. We also …

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