Iterated coil enlargements of algebras

We show that a quasitilted algebra has a preprojective component. This is proved by giving an algorithmic criterion for the existence of preprojective components.

Degenerations for indecomposable modules and tame algebras

Andrzej Skowroński, Grzegorz Zwara (1998)

Annales scientifiques de l'École Normale Supérieure

Similarity:

Directing components for quasitilted algebras

Flávio Coelho (1999)

Colloquium Mathematicae

Similarity:

We show here that a directing component of the Auslander-Reiten quiver of a quasitilted algebra is either postprojective or preinjective or a connecting component.

Endomorphism algebras of exceptional sequences over path algebras of type ${\tilde{A}}_{n}$

Ibrahim Assem, Yingbo Zhang (1998)

Colloquium Mathematicae

Similarity:

On the number of terms in the middle of almost split sequences over cycle-finite artin algebras

Piotr Malicki, José Peña, Andrzej Skowroński (2014)

Open Mathematics

Similarity:

We prove that the number of terms in the middle of an almost split sequence in the module category of a cycle-finite artin algebra is bounded by 5.