We study quivers with relations of endomorphism algebras of Auslander-Platzeck-Reiten
tilting modules. It is known that the quivers are given by reflections if the original algebras …

Happel and Unger defined a partial order on the set of basic tilting modules. We study the
poset of basic preprojective tilting modules over path algebras of representation-infinite type …

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 …

Happel and Unger reconstructed hereditary algebras from their posets of tilting modules.
Inspired by this result, we try removing the assumption to be hereditary. However, it would …

Let be a component of the Auslander-Reiten quiver of an Artin algebra containing projective
and injective modules. Assume that the length of any path from an injective in to a projective …

Tilting procedures are a well-known instrument in order to construct from a given finite
dimensional algebra A new algebras with related representation theory (compare [4],[7],[3]); …

We give a new characterization of tilted algebras by the existence of certain special
subquivers in their Auslander–Reiten quiver. This result includes the existent …

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

Let A=/cA be the path algebra of a finite, connected quiver A without oriented cycles. Here k
denotes an algebraically closed field. We denote the category of finite-dimensional A-left …

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 …