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On quasitilted algebras which are one-point extensions of hereditary algebras

Dieter HappelInger Slungård — 1999

Colloquium Mathematicae

Quasitilted algebras have been introduced as a proper generalization of tilted algebras. In an earlier article we determined necessary conditions for one-point extensions of decomposable finite-dimensional hereditary algebras to be quasitilted and not tilted. In this article we study algebras satisfying these necessary conditions in order to investigate to what extent the conditions are sufficient.

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