From trisections in module categories to quasi-directed components

Edson R. Alvares; Ibrahim Assem; Sonia Trepode; Flávio U. Coelho; Maria Ines Peña

hal-00584591, version 1

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 ⁵

(2010-05-29)

Abstract: 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.

1: Departamento de Matematica
Universidade Federal do Paraná
2: Département de mathématiques, Université de Sherbrooke
Université de Sherbrooke
3: Departamento de Matemática
Universidad Nacional de Mar del Plata
4: Instituto de Matemática e Estatística (IME)
Universidade de São Paulo
5: Departamento de Matematica
Universidad Nacional de Mar del Plata, Argentine

hal-00584591, version 1
http://hal.archives-ouvertes.fr/hal-00584591
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From: Ibrahim Assem <>
Submitted on: Friday, 8 April 2011 20:57:51
Updated on: Thursday, 14 April 2011 02:54:08

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