On quasitilted algebras which are one-point extensions of hereditary algebras
Volume 81 / 1999
Colloquium Mathematicum 81 (1999), 141-152
DOI: 10.4064/cm-81-1-141-152
Abstract
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.