Given two epimorphisms of algebras A↠ B and C↠ B, we consider the pullback R. We
introduce a particular class of algebras, the tree oriented pullback, where there is a close …

We show that a tilted algebra A is tame if and only if for each generic root d of A and each
indecomposable irreducible component C of mod (A, d), the field of rational invariants k (C) …

Let A be a finite-dimensional, basic and connected algebra (associative, with 1) over an
algebraically closed field. It is called simply connected it it is triangular and, for any …

We call a triangulated category hereditary, in case it is triangle equivalent to the bounded
derived category Db (A) of a hereditary abelian category A. Such a hereditary triangulated …

We prove that the finitistic dimension of a properly stratified algebra having a simple
preserving duality and for which every tilting module is cotilting, equals twice the projective …

Let A be a finite dimensional algebra over an algebraically closed field k. In recent years the
consideration of the derived category D"(A) of the category mod A of (left-) modules over A …

Let A be a finite dimensional hereditary algebra over an algebraically closed field k. In this
paper, we study the tilting quiver of A from the viewpoint of τ-tilting theory. First, we prove that …

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 …

We describe the structure of all indecomposable modules in standard coils of the Auslander–
Reiten quivers of finite-dimensional algebras over an algebraically closed field. We prove …

We prove that a stably hereditary bound quiver algebra A= KQ/I is iterated tilted if and only if
(Q, I) satisfies the clock condition, and that in this case it is of type Q. Furthermore, A is tilted if …