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On minimal non-tilted algebras

Flávio U. CoelhoJosé A. de la PeñaSonia Trepode — 2008

Colloquium Mathematicae

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.

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