On quasitilted algebras which are one-point extensions of hereditary algebras
Dieter Happel, Inger Slungård (1999)
Colloquium Mathematicae
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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.