On Auslander–Reiten components for quasitilted algebras
Volume 149 / 1996
Fundamenta Mathematicae 149 (1996), 67-82
DOI: 10.4064/fm-149-1-67-82
Abstract
An artin algebra A over a commutative artin ring R is called quasitilted if gl.dim A ≤ 2 and for each indecomposable finitely generated A-module M we have pd M ≤ 1 or id M ≤ 1. In [11] several characterizations of quasitilted algebras were proven. We investigate the structure and homological properties of connected components in the Auslander-Reiten quiver $Γ_A$ of a quasitilted algebra A.
