On minimal non-tilted algebras

• Autorzy: Flávio U. Coelho , José A. de la Peña , Sonia Trepode
• Języki publikacji: EN

Abstrakty

EN

A minimal non-tilted triangular algebra such that any proper semiconvex subcategory is tilted is called a tilt-semicritical algebra. We study the tilt-semicritical algebras which are quasitilted or one-point extensions of tilted algebras of tame hereditary type. We establish inductive procedures to decide whether or not a given strongly simply connected algebra is tilted.

Kategorie tematyczne

• 16E10: Homological dimension
• 16G20: Representations of quivers and partially ordered sets
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 1
• Strony: 71-84

Daty

wydano

2008

Twórcy

autor

Flávio U. Coelho

• Departamento de Matemática-IME, Universidade de São Paulo, CP 66281, São Paulo, SP, 05315-970, Brazil

autor

José A. de la Peña

• Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, México 04510, D.F., México

autor

Sonia Trepode

• Departamento de Matemáticas, FCEyN, Universidad de Mar del Plata, Mar del Plata, 7600 Argentina

Identyfikatory

DOI

10.4064/cm111-1-7