Geodesic
On minimal non-tilted algebras
Flávio U. Coelho 1   ; José A. de la Peña 2   ; Sonia Trepode 3
1 Departamento de Matemática-IME Universidade de São Paulo CP 66281 São Paulo, SP, 05315-970, Brazil
2 Instituto de Matemáticas UNAM Circuito Exterior, Ciudad Universitaria México 04510, D.F., México
3 Departamento de Matemáticas, FCEyN Universidad de Mar del Plata Mar del Plata, 7600 Argentina
Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 71-84 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm111-1-7
Keywords: minimal non tilted triangular algebra proper semiconvex subcategory tilted called tilt semicritical algebra study tilt semicritical algebras which quasitilted one point extensions tilted algebras tame hereditary type establish inductive procedures decide whether given strongly simply connected algebra tilted

Flávio U. Coelho  1   ; José A. de la Peña  2   ; Sonia Trepode  3

1 Departamento de Matemática-IME Universidade de São Paulo CP 66281 São Paulo, SP, 05315-970, Brazil
2 Instituto de Matemáticas UNAM Circuito Exterior, Ciudad Universitaria México 04510, D.F., México
3 Departamento de Matemáticas, FCEyN Universidad de Mar del Plata Mar del Plata, 7600 Argentina 
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Flávio U. Coelho; José  A. de la Peña; Sonia Trepode. On minimal non-tilted algebras. Colloquium Mathematicum, Tome 111 (2008) no. 1, pp. 71-84. doi: 10.4064/cm111-1-7

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