… classes and Gorenstein cotorsion pairs of R-modules. Then, we … consists precisely of all right
R-modules with a G-exact right Prod ( … weak tilting modules and Gorenstein tilting modules. …

… tilting (resp., cotilting) subcategories defined here unify many previous works about tilting
modules (subcategories) in module … in abelian categories admitting a cotorsion triples; we also …

… T is a tilting module over A = A/I where I = {a ∈ A | Ta = 0} is the annihilator of T in A. We
consider the tilting cotorsion pair (A, Gen TA) induced by T in Mod-A and the dual cotilting class …

… We start by recalling the fundaments of the theory of cotorsion pairs and approximations,
and on the way, we introduce the notation used in this chapter. Let R be an associative and …

… that modules arising in cotorsion pairs satisfy certain Mittag-Leffler con ditions. In particular,
this implies that tilting modules … In the final sec tion, we focus on a special tilting cotorsion pair …

… [3] related cotorsion theory to (co)tilting modules which came from the representation theory
of algebras. A cotorsion theory (see definition below) is also called a cotorsion pair by many …

… tilting modules, which are essential elements in the proof of our main results. The Wakamatsu
tilting module is a kind of generalization of the tilting module [… Wakamatsu tilting modules in …

… cotorsion theories demonstrated by the quoted papers led Trlifaj [T] to investigate more
systematically the cotorsion theories induced by tilting and cotilting modules (… the cotorsion theory …

… tilting A-module T is a finendo quasi-tilting B-module, strengthening the results of the previous
section. Associated to tilting and τ-tilting … as cotorsion torsion triples and τ-cotorsion torsion …

… In order to keep this paper reasonable in size, we have not explored relations of our topic
to other relevant questions, like being of finite type, tilting modules, etc. Several results can be …