From trisections in module categories to quasi-directed components

Edson R. Alvares (1) , Ibrahim Assem (2) , Sonia Trepode (3) , Flávio U. Coelho (4) , Maria Ines Peña (3)

1 Departamento de Matematica
2 UdeS - Département de mathématiques [Sherbrooke]
3 Departamento de Matemática [Mar del Plata]
4 IME - Instituto de Matemática e Estatística

In this paper, we define and study a special type of trisections in a module category, namely the compact trisections which characterise quasi-directed components. We apply this notion to the study of laura algebras and we use it to define a class of algebras with predictable Auslander-Reiten components.

Mots clés: Trisections; Cores; Quasi-directed components; Laura algebras

Domaines: Anneaux et algèbres [math.RA]

Edson R. Alvares, Ibrahim Assem, Sonia Trepode, Flávio U. Coelho, Maria Ines Peña. From trisections in module categories to quasi-directed components. 2010. ⟨hal-00584591⟩