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 …

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 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 …

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 …

TILTING COTORSION PAIRS Page 1 Bull. London Math. Soc. 37 (2005) 683–696 Cо2005
London Mathematical Society doi:10.1112/S0024609305004728 TILTING COTORSION PAIRS …

We classify 1-tilting classes over an arbitrary commutative ring. As a consequence, we
classify all resolving subcategories of finitely presented modules of projective dimension at …

We provide a complete classification of all tilting modules and tilting classes over almost
perfect domains, which generalizes the classifications of tilting modules and tilting classes …

Tilting modules over Prüfer domains are investigated. Tilting torsion classes over these
domains correspond bijectively to finitely generated localizing systems of ideals. For each …

Tilting and cotilting classes over Gorenstein rings Page 331 Contemporary Mathematics
Contemporary Mathematics Volume 480 , 2009 Tilting and Cotilting Classes Over Gorenstein …