We study finiteness conditions on large tilting modules over arbitrary rings. We then turn to a
hereditary artin algebra R and apply our results to the (infinite dimensional) tilting module L …

Infinitely generated complements to partial tilting modules Page 1 Math. Proc. Camb. Phil.
Soc. (2002), 132, 89 c© Cambridge Philosophical Society DOI: 10.1017/S0305004101005394 …

We investigate the structure of (infinite dimensional) tilting modules over hereditary artin
algebras. For connected algebras of infinite representation type with Grothendieck group of …

Bazzoni had given a simple characterization of infinitely generated n-tilting modules.
Though her method is even inapplicable to classical n-tilting modules over Artin algebras …

We give a complete classification of the infinite dimensional tilting modules over a tame
hereditary algebra R. We start our investigations by considering tilting modules of the form …

Tilting via torsion pairs and almost hereditary noetherian rings Page 1 Journal of Pure and
Applied Algebra 215 (2011) 2072–2085 Contents lists available at ScienceDirect Journal of …

We develop a structure theory for two classes of infinite dimensional modules over tame
hereditary algebras: the Baer modules, and the Mittag-Leffler ones. A right R-module M is …

Let be an Artin algebra over a commutative Artin ring R and let mod be the category of
finitely generated left-modules. For a module M∈ mod we denote by pd M the projective …

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 …

We study the problem of when a direct limit of tilting modules is still a tilting module. Tilting
theory first appeared in the context of finitely generated modules over artin algebras [12 …