On wings of the Auslander-Reiten quivers of selfinjective algebras

• Autorzy: Marta Kwiecień , Andrzej Skowroński
• Języki publikacji: EN

Abstrakty

EN

We give necessary and sufficient conditions for a wing of an Auslander-Reiten quiver of a selfinjective algebra to be the wing of the radical of an indecomposable projective module. Moreover, a characterization of indecomposable Nakayama algebras of Loewy length ≥ 3 is obtained.

Kategorie tematyczne

• 16D50: Injective modules, self-injective rings
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
• 16G10: Representations of Artinian rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 103
• Numer: 2
• Strony: 265-285

Daty

wydano

2005

Twórcy

autor

Marta Kwiecień

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Andrzej Skowroński

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm103-2-11