One-point extensions of quasitilted algebras by modules on stable tubes (Q2782438)

The class of quasitilted algebras was introduced in order to generalize the tilting process to locally finite hereditary \(k\)-categories and includes the tilted algebras and the canonical algebras. Observe that any quasitilted algebra is a one-point extension of a `smaller' quasitilted algebra. This fact is very helpful in describing this class of algebras and the problem of when a one-point extension of a quasitilted algebra is again quasitilted has been considered by several authors. In the paper under review, the authors study some necessary and sufficient conditions for the one-point extension of a quasitilted by an indecomposable module to be again quasitilted.NEWLINENEWLINEFor the entire collection see [Zbl 0974.00038].