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 …

This book provides a comprehensive exposition of the use of set-theoretic methods in
abelian group theory, module theory, and homological algebra, including applications to …

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 …

Let $ R $ be a right noetherian ring and let $\mathcal {P}^{<\infty} $ be the class of all finitely
presented modules of finite projective dimension. We prove that findim $ R= n<\infty $ iff …

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

Enochs' proof of the Flat Cover Conjecture [BEE] is based on a construction of special
preenvelopes from [ET1]. A recent result of Eklof and Shelah [ES] implies consistency (with …

We explore the interlacing between model category structures attained to classes of
modules of finite article amssymb empty X‐dimension, for certain classes of modules article …

Let R be a ring and T an (infinitely generated) tilting module. Then T is of countable type; that
is, there is a set, 𝒞, of modules possessing a projective resolution consisting of countably …

The theory of finitely generated relative (co) tilting modules has been established in the
1980s by Auslander and Solberg, and infinitely generated relative tilting modules have …

For a right artinian ring L we show that for every n b0 there exists a pure-injective L-module
Pn such that the L-modules of projective dimension at most n are precisely the direct factors …