Laura algebras and quasi-directed components

• Autorzy: Marcelo Lanzilotta , David Smith
• Języki publikacji: EN

Abstrakty

EN

Using a notion of distance between indecomposable modules we deduce new characterizations of laura algebras and quasi-directed Auslander-Reiten components. Afterwards, we investigate the infinite radical of Artin algebras and show that there exist infinitely many non-directing modules between two indecomposable modules X and Y if $rad_{A}^{∞}(X,Y) ≠ 0$. We draw as inference that a convex component is quasi-directed if and only if it is almost directed.

Kategorie tematyczne

• 16E10: Homological dimension
• 18G05: Projectives and injectives
• 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: 2006
• Tom: 105
• Numer: 2
• Strony: 179-196

Daty

wydano

2006

Twórcy

autor

Marcelo Lanzilotta

• Centro de Matemática (CMAT), Iguá 4225, Universidad de la República, CP 11400, Montevideo, Uruguay

autor

David Smith

• Département de Mathématiques, Université de Sherbrooke, 2500, boul. de l'Université, Sherbrooke, Québec, Canada, J1K 2R1

Identyfikatory

DOI

10.4064/cm105-2-2