Let $\Lambda= k\overrightarrow {\Delta} $ be the path algebra of a finite quiver without
oriented cycles. The set of isomorphism classes of multiplicity free tilting modules is in a …

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 …

First a duality theory is developed for arbitrary finite-dimensional algebras Λ and Λ′. It
provides a characterization of the contravariant equivalences which link resolving …

Lattice structure of torsion classes for path algebras | Bulletin of the London Mathematical
Society | Oxford Academic Skip to Main Content Advertisement Oxford Academic Journals …

Degenerations for representations of tame quivers Page 1 ANNALES SCIENTIFIQUES DE L’É.NS
KLAUS BONGARTZ Degenerations for representations of tame quivers Annales …

Tilting and cotilting modules are classified for the completed path algebra of a quiver of type
A ̃ n with linear orientation. This classification problem arises naturally in the classification of …

Let k be an algebraically closed field. By algebra A, we mean a finite dimensional
associative k-algebra, which we assume moreover to be basic and connected. For such an …

The starting point of this thesis was a question by Dieter Happel with the following
background. Let Q be a finite acyclic quiver (another word for directed graph) and K an …

This paper concerns indecomposable preprojective modules over the path algebra of a finite
connected quiver without oriented cycles. For each such module, an explicit formula in terms …

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 …