On Auslander–Reiten components for quasitilted algebras

Coelho, Flávio ; Skowroński, Andrzej

Fundamenta Mathematicae, Tome 149 (1996), p. 67-82 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 1996-01-01

Zbl 0848.16012

EUDML-ID : urn:eudml:doc:212109

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