We extend the classification of finitely generated modules and the combinatorial description
of Auslander-Reiten sequences for finite-dimensional string algebras to infinite dimensional …

Tilting theory is a central topic in the representation theory of artin algebras, with origins in
work of Bernstein {Gelfand {Ponomarev from the early seventies. There has been extensive …

Giraldo and Merklen classified the irreducible morphisms in the bounded derived categories
of finite dimensional algebras in three classes. The Auslander-Reiten triangles in these …

Introduction. Throughout this paper A denotes a fixed artin algebra, and rad (rood A)
denotes the Jacobson radical of mod A, the category of finitely generated left A-modules …

A), where TA is a tilting module, with A a finite dimensional hereditary algebra, are called the
tilted algebras. The main interest in tilted algebras comes from the fact that any finite …

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

Let $ A $ be a finite dimensional hereditary algebra over a field, with $ n $ simple $ A $-
modules. An $ A $-module $ T_A $ with $ n $ pairwise nonisomorphic indecomposable …

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 deduce a necessary condition for Auslander-Reiten components of the bounded derived
category of a finite dimensional algebra to have Euclidean tree class by classifying certain …

The class of support-tilting modules was introduced recently by Adachi et al. These modules
complete the class of tilting modules from the point of view of mutations. Given a finite …