The component quiver of a self-injective artin algebra

• Autorzy: Alicja Jaworska , Andrzej Skowroński
• Języki publikacji: EN

Abstrakty

EN

We prove that the component quiver $Σ_{A}$ of a connected self-injective artin algebra A of infinite representation type is fully cyclic, that is, every finite set of components of the Auslander-Reiten quiver $Γ_{A}$ of A lies on a common oriented cycle in $Σ_{A}$.

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: 2011
• Tom: 122
• Numer: 2
• Strony: 233-239

Daty

wydano

2011

Twórcy

autor

Alicja Jaworska

• 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/cm122-2-8