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 …

In [H. Krause, O. Solberg, Applications of cotorsion pairs, J. London Math. Soc. 68 (2003)
631–650], the Telescope Conjecture was formulated for the module category ModR of an …

Throughout the paper A will denote an artin algebra and mod A will denote the category of
finitely generated A-modules. Recently, subcategories of mod A which are the torsion free …

Auslander-type conditions and cotorsion pairs Page 1 Journal of Algebra 318 (2007) 93–110
www.elsevier.com/locate/jalgebra Auslander-type conditions and cotorsion pairs Zhaoyong …

We use torsion pairs in stable categories and cotorsion pairs in modules categories to study,
in general infinitely generated, Cohen–Macaulay modules and (a generalization of) …

In [R. Colpi, KR Fuller, Tilting objects in abelian categories and quasitilted rings, Trans.
Amer. Math. Soc., in press] tilting objects in an arbitrary abelian category H are introduced …

In [5] Brenner-Butler first introduced the notion of a tilting module in a rather restrictive form,
and in [6] Happel-Ringel generalized their work and extensively developed the theory of …

For a left noetherian ring, we establish a bijective correspondence between equivalence
classes of cotilting-modules which are not necessarily finitely generated, and torsion pairs …

Throughout this paper we assume that all modules are finitely generated over an artin
algebra L!. We denote by mod/i the category of all finitely generated/i-modules. The notions …

Relative cotilting modules and their connection to ordinary cotilting modules were first
studied by Auslander and Solberg in [6] and [7]. Among other things, they show that relative …