11 citations · 26 across the 4 of their papers we have counts for
4 papers
Classification of modules not lying on short chains
Alicja Jaworska, Piotr Malicki, Andrzej Skowroński
We give a complete description of finitely generated modules over artin algebras which are not the middle of a short chain of modules, using injective and tilting modules over here…
Tilted algebras and short chains of modules
Alicja Jaworska, Piotr Malicki, Andrzej Skowroński
We provide an affirmative answer for the question raised almost twenty years ago concerning the characterization of tilted artin algebras by the existence of a sincere finitely gen…
On Auslander-Reiten components of algebras without external short paths
Alicja Jaworska, Piotr Malicki, Andrzej Skowroński
We describe the structure of semi-regular Auslander-Reiten components of artin algebras without external short paths in the module category. As an application we give a complete de…
Auslander-Reiten Components determined by their Composition Factors
Alicja Jaworska, Piotr Malicki, Andrzej Skowroński
We provide sufficient conditions for a component of the Auslander-Reiten quiver of an artin algebra to be determined by the composition factors of its indecomposable modules.